Antiderivatives - Study guides, Class notes & Summaries

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antiderivatives, areas and distances, area under a continuous function

Calculus BC introduction to antiderivatives (integrals)

These notes are an introduction to some of the basic concepts of differential equations including: antiderivatives, ordinary differential equations (ODEs), partial differential equations (PDEs), linear oscillator model, classification by order, and classification by linearity. Several worked out examples are also provided. This material is from the Differential Equations class taught by Peter Brady at Stevens Institute of Technology.

Calculus 1 Questions & Answers Absolute Extrema - ANSWER: Includes both absolute maximum and absolute minimum in a given interval. Absolute Extrema - ANSWER: Includes both absolute maximum and absolute minimum in a given interval. Absolute Extrema - ANSWER: May occur at critical points or endpoints. Largest value is the absolute max, smallest is the absolute min. Absolute Extrema - ANSWER: May occur at critical points or endpoints. Largest value is the absolute max, smallest is the absol...

MATHEMATICS 1B FINAL EXAM PRACTICE PROBLEMS DISCLAIMER: The practice problems below are not intended to be a complete review of the material covered this quarter. They are intended only to give you practice in applying SOME of the concepts you learned. For a complete review (strongly recommended), you should review old exams/quizzes/HW and try new problems from each section covered in class. You are also encouraged to review lecture handouts (e.g., Survival Guide material). Finally, some pr...

Summary review of Calculus I topics. It summarizes important topics in calc 1 such as derivatives, antiderivatives, integrals, limits, optimization, etc. and also includes tips and tricks for these topics.

Notes on finding the antiderivative of a function, using the anti-power rule, and applying this concept to application problems about motion.

Learn about inverse trig functions. The derivatives and integrals of inverse trig functions with some sample problems.

Calculus 1 Overview Questions & Answers (d/dx)(f⁻¹(x)) at x=b - ANSWER: 1/(f'(f⁻¹(x)) -or- 1/f'(a) where b=f(a) Acceleration - ANSWER: derivative of velocity (second derivative) Antiderivatives - ANSWER: F'(x)=f(x) Antiderivatives and Area - ANSWER: Displacement: ∫v(t)dt , [a,b] -- s(b)-s(a) Distance Travelled: ∫|v(t)|dt , [a,b] -- 2s(c)-s(a)-s(b) Chain Rule - ANSWER: d/dx f(g(x)) = f'(g(x)) • g'(x) Continuity and the Intermediate Value Theorem - ANSWER: Continuous = Diff...