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AP Calc: BC Derivatives CORRECT 100%
d/dx sin x - ANSWERcos x d/dx cos x - ANSWER-sin x d/dx tan x - ANSWERsec² x d/dx x^n - ANSWERn x^(n -1 ) d/dx cot x - ANSWER-csc^2 x Ashton Prasatek d/dx csc x - ANSWER(-csc x) * (cot x) Desta Gebregiorgis d/dx lnx - ANSWER1/x Mackenzie Tocco d/dx e^x - ANSWERe^x Caroline egan D/dx sec x - ANSWERSec x * tan x Courtney miller d/dx arctan, - ANSWERf '(x) = 1 / (1 + x ^2) Kelsey McNeely d/dx b^x - A
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d/dx sin x - ANSWERcos x d/dx cos x - ANSWER-sin x d/dx tan x - ANSWERsec² x d/dx x^n - ANSWERn x^(n -1 ) d/dx cot x - ANSWER-csc^2 x Ashton Prasatek d/dx csc x - ANSWER(-csc x) * (cot x) Desta Gebregiorgis d/dx lnx - ANSWER1/x Mackenzie Tocco d/dx e^x - ANSWERe^x Caroline egan D/dx sec x - ANSWERSec x * tan x Courtney miller d/dx arctan, - ANSWERf '(x) = 1 / (1 + x ^2) Kelsey McNeely d/dx b^x - A
AP Calc BC Chapter 7 QUESTIONS & ANSWERS(RATED A+)
What does ∫ (the indefinite integral) mean - ANSWERTake the antiderivative Let f(x)= x³+1 and let u=x² Find ∫ f(x)dx in terms of x - ANSWER"in terms of x"--> final answer will have x in it Use x, derive with x x⁴/4 +x +C Let f(x)= x³+1 and let u=x² Find ∫ f(u)du in terms of x - ANSWERUse u, derive with u Integrate, with the variable as u, and go back to x f(u)= u³+1 So ∫ (u³+1) du u⁴/4 +u+C Then plug x back in u=x² so x⁸/4 +x+C Let f(x)= x³+1 a...
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What does ∫ (the indefinite integral) mean - ANSWERTake the antiderivative Let f(x)= x³+1 and let u=x² Find ∫ f(x)dx in terms of x - ANSWER"in terms of x"--> final answer will have x in it Use x, derive with x x⁴/4 +x +C Let f(x)= x³+1 and let u=x² Find ∫ f(u)du in terms of x - ANSWERUse u, derive with u Integrate, with the variable as u, and go back to x f(u)= u³+1 So ∫ (u³+1) du u⁴/4 +u+C Then plug x back in u=x² so x⁸/4 +x+C Let f(x)= x³+1 a...
AP Calc BC Chapter 5 QUESTIONS & ANSWERS!!
What is a critical point - ANSWERWhere the derivative of a function is undefined, or where it is equal to 0 So where the original line has a horizontal or vertical slope, OR a sharp turn/discontinuity What is a critical point that's not a stationary point - ANSWERStationary point is when the derivative is equal to 0 So "critical point that's not a stationary point" is just when the function is undefined for any reason (vertical tangent, jump/step, corner, etc) She actually ...
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What is a critical point - ANSWERWhere the derivative of a function is undefined, or where it is equal to 0 So where the original line has a horizontal or vertical slope, OR a sharp turn/discontinuity What is a critical point that's not a stationary point - ANSWERStationary point is when the derivative is equal to 0 So "critical point that's not a stationary point" is just when the function is undefined for any reason (vertical tangent, jump/step, corner, etc) She actually ...
CHapter 4 - AP Calculus BC CORRECT 100%
Definite integra as the area of the region - ANSWERif f is continuous and nonnegative on the closed interval [a,b], then the area of the region bounded by the graph of f, the x-axis, and the vertical lines x=a and x=b is for the fundamental theorem of calculus, it is not necessary to include a ___ in the antiderivative - ANSWERconstant of integration C The mean value theorem for integrals - ANSWERif f is continuous on the closed interval [a,b], then there exists a number c in the closed in...
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Definite integra as the area of the region - ANSWERif f is continuous and nonnegative on the closed interval [a,b], then the area of the region bounded by the graph of f, the x-axis, and the vertical lines x=a and x=b is for the fundamental theorem of calculus, it is not necessary to include a ___ in the antiderivative - ANSWERconstant of integration C The mean value theorem for integrals - ANSWERif f is continuous on the closed interval [a,b], then there exists a number c in the closed in...
2018 MCQ Exam- Calc BC QUESTIONS & ANSWERS(RATED A+)
If y = x(2x+5)^1/2, then the derivative of y equals: - ANSWER1) Just use regular product rule and then simplify. What is the integral of 2^x? - ANSWER1. The formula is the integral of (a^x dx) is equal to (a^x / lna) 2. Substitute the value of the 2 into your formula. 3. You should get the derivative of y equals (3x+5) / (root ( 2x+5)) The limit as x approaches -7 of (x+7) / |x+7| is: - ANSWERCOME BACK TO Answer: D- Non-existent. Find the integral of ((x^1/3 - 4)^5 / (6x^2/3))...
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If y = x(2x+5)^1/2, then the derivative of y equals: - ANSWER1) Just use regular product rule and then simplify. What is the integral of 2^x? - ANSWER1. The formula is the integral of (a^x dx) is equal to (a^x / lna) 2. Substitute the value of the 2 into your formula. 3. You should get the derivative of y equals (3x+5) / (root ( 2x+5)) The limit as x approaches -7 of (x+7) / |x+7| is: - ANSWERCOME BACK TO Answer: D- Non-existent. Find the integral of ((x^1/3 - 4)^5 / (6x^2/3))...
AP Calculus BC: Ch. 1-2 CORRECT 100%
parent function of f(x)=√(x) - ANSWER... parent function of f(x)=x³ - ANSWER... vertical asymptotes create dicontinuity - ANSWERinfinite discontinuity decreasing function - ANSWERf(x₁)>f(x₂) intermediate value theorem - ANSWERto have 2 points connected on a continuous curve and 1 below, such that f(c)= y value trig identity with tan and sec - ANSWER1+tan²θ=sec²θ odd function if... - ANSWERif f(-x)=f(x) y=f(Cx); C makes the graph do... - ANSWERcompresses graph...
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parent function of f(x)=√(x) - ANSWER... parent function of f(x)=x³ - ANSWER... vertical asymptotes create dicontinuity - ANSWERinfinite discontinuity decreasing function - ANSWERf(x₁)>f(x₂) intermediate value theorem - ANSWERto have 2 points connected on a continuous curve and 1 below, such that f(c)= y value trig identity with tan and sec - ANSWER1+tan²θ=sec²θ odd function if... - ANSWERif f(-x)=f(x) y=f(Cx); C makes the graph do... - ANSWERcompresses graph...
AP Calculus BC Unit 2 Progress Check MCQ Part A CORRECT 100%(RATED A+)
1. X | 0 | 1 F(x) | 1 | 2 Let f be the function given by f(x) = 2^(x^2). Selected values of f are given in the table above. If the values in the table are used to approximate f'(0.5), what is the difference between the approximation and the actual value of f'(0.5)? A. 0 B. 0.176 C. 0.824 D. 1 - ANSWERB. 0.176 Selected values of a function f are shown in the table above. What is the average rate of change of f over the interval [1, 6]? A. (6-1)/[10-(-3)] B. [10 + (-3)]/(6...
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1. X | 0 | 1 F(x) | 1 | 2 Let f be the function given by f(x) = 2^(x^2). Selected values of f are given in the table above. If the values in the table are used to approximate f'(0.5), what is the difference between the approximation and the actual value of f'(0.5)? A. 0 B. 0.176 C. 0.824 D. 1 - ANSWERB. 0.176 Selected values of a function f are shown in the table above. What is the average rate of change of f over the interval [1, 6]? A. (6-1)/[10-(-3)] B. [10 + (-3)]/(6...
AP Calc BC: Unit 5 CORRECT 100%
The Mean Value Theorem (MVT) - ANSWERIf f is continuous AND differentiable on the closed interval [a, b], then there exists at least one number c in (a, b) where IROC = AROC What happens when you mathamatically find the critical point but its undefined in the euqation? - ANSWERIts not an critical point bc it means it a asymptote How do you find the critical point if given the derative - ANSWERJust set it to 0 and Make the sign chart How do you find icnreasing or decreaing - ANSWER ...
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The Mean Value Theorem (MVT) - ANSWERIf f is continuous AND differentiable on the closed interval [a, b], then there exists at least one number c in (a, b) where IROC = AROC What happens when you mathamatically find the critical point but its undefined in the euqation? - ANSWERIts not an critical point bc it means it a asymptote How do you find the critical point if given the derative - ANSWERJust set it to 0 and Make the sign chart How do you find icnreasing or decreaing - ANSWER ...
AP Calc BC Quarter 1 Math Fact Sheet Review CORRECT 100%
Given lim x->c+ f(x)=1/0: what do you know about the graph - ANSWERThere is a VA (limit is DNE) Given lim x->c+ f(x)=1/0: how do you find the limit? - ANSWERSubstitute a value close to c into the function. If it produces a + value, the limit = ∞. If it is a - value, the limit= -∞ Does a hole prevent a limit from existing? - ANSWERNo What is the limit of a constant? - ANSWERa constant If lim x->c f(x)=0/0 how do you evaluate the limit when given a rational function? - ANS...
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Given lim x->c+ f(x)=1/0: what do you know about the graph - ANSWERThere is a VA (limit is DNE) Given lim x->c+ f(x)=1/0: how do you find the limit? - ANSWERSubstitute a value close to c into the function. If it produces a + value, the limit = ∞. If it is a - value, the limit= -∞ Does a hole prevent a limit from existing? - ANSWERNo What is the limit of a constant? - ANSWERa constant If lim x->c f(x)=0/0 how do you evaluate the limit when given a rational function? - ANS...
AP Calculus BC Unit 5 Progress Check: MCQ Part A CORRECT 100%
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HOSA Dental Terminology Practice test Correct Questions & Answers(GRADED A+)
Georgia Registration Exam 2025 QUESTIONS & ANSWERS(RATED A+)
Nevada Life Insurance Exam Questions & Answers 100% Correct(SCORED A+)
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NC health science 1 final exam review Questions 100% Solved