Ap calculus ab - Study guides, Class notes & Summaries

Equation of A Line - ANSWERy - y1 = m(x - x1) Average Rate of Change (Slope) - ANSWER(y2 - y1)/(x2 - x1) Vertical Asymptote - ANSWERcondition: lim f(x) as x approaches a = + or - infinity conclusion: VA: x = a Horizontal Asymptote - ANSWERcondition: lim f(x) as x approaches + or - infinity = a conclusion: HA: y = a Derivative of A Power or Exponent (Ex: y = a^u) - ANSWERy' = (ln a ) a^u * u' Arc Length - What is the Formula? - ANSWERThe integral from a to b of (1 + [f'...

AP Calculus AB Final Exam Review Find the zeros of f(x). - Answer>>Set the function equal to 0. Factor or use quadratic formula (if quadratic). Or, use a graphing calculator, with 2nd TRACE. Find the intersection of f(x) and g(x). - Answer>>Set the two functions equal to each other and solve. Alternately, use a graphing calculator to find the intersection, with 2nd TRACE. Show that f(x) is even. - Answer>>Show that f(-x) = f(x). This shows that the graph of f is symm...

AP Calculus AB Formulas to Know Questions and answers latest update

AP Calculus AB: Formulas to Know limit defenition of derivative alternate definition of derivative of f(x) at c f(x) is continuous when... f(x) is differentiable at x=c when f prime of x as x aproaches c from the left = f prime of x as a x approaches c from the right power rule

AP Calculus AB Exam verified answer!! 2024

AP CALCULUS AB Midterm Exam With Answers 2024 Find the Zeros - Answer>>f(x)=0 Find the equation of the line tangent to f(x) at (a,b) - Answer>>Get x and y. Get the slope at x. y-y1=m(x-x1) Find the equation of the line normal to f(x) - Answer>>negative reciprocal. Show that f(x) is even. - Answer>>f(x)=f(-x) Show that f(x) is odd - Answer>>f(x)= -f(-x). YES. Thats right. Two negatives

AP Calculus AB - Final Exam Study Guide Definition of a Derivative - Answer>>f'(x) = lim (h goes to zero) [(f(x+h) - f(x))/h] Alternate Form of a Derivative - Answer>>f'(a) = lim (x goes to a) [(f(x) - f(a))/(x-a)] Constant Rule (Definition) - Answer>>If f(x) = c, where c is any real number, then f'(x) = 0. Power Rule (Definition) - Answer>>If f(x) = xⁿ, then f'(x) = nxⁿ⁻¹, where n∈R.

AP Calculus AB Final Multiple Choice Q Questions and answers latest update

AP Calculus AB Study Guide Units 1-8 What is the definition of a derivative? What does the intermediate value theorem state? If the function f(x) is continuous on [a,b], and y is a number between f(a) and f(b), then there exists at least one number x=c in the open interval (a,b) such that f(c)=y. What does the mean value theorem state? If the function f(x) is continuous on [a,b], and the first derivative exists on the interval (a,b) and f(a)=f(b), then there is at least one number x=c ...