Download presentation
Presentation is loading. Please wait.
Published byAbril Luscombe Modified over 10 years ago
1
{ Semester Exam Review AP Calculus
2
Exam Topics
3
Trig function derivatives
4
Differentiate: Co-Functions: Negative!!
5
Find f’(x) using the limit definition of derivatives:
6
Derivatives by limits:
7
Rate of Change: Average vs. Instantaneous
8
DERIVATIVE!!!! (Slope of tangent line) Instantaneous Rate of Change =
9
Writing Equation of Tangent Line
10
Displacement/Velocity/Acceleration
11
Implicit Differentiation:
12
Differentiate implicitly:
13
To the nearest thousandth, calculate the slope of the tangent where x = 4:
14
Differentiate implicitly:Find coordinates of y when x = 4 and substitute into dy/dx equation:
15
Useful Related Rates Formulas
16
Be able to find values that make a piecewise function differentiable at a given point (must be continuous AND differentiable) Remember to use LIMITS to show differentiability and continuity! Differentiability Implies Continuity
17
To Prove Continuity:
18
Trapezoidal Rule/Riemann Sums
19
Implicit Differentiation Differential dy Average Rate of Change Instantaneous Rate of Change Estimate definite integrals using trap rule, Riemann sums, graph Applications Find velocity given displacement equation Find displacement given velocity equation Write equation of tangent line Find c value guaranteed by Mean Value Theorem Related Rates Calculator Find numerical derivatives Table of Values/Graph Riemann Sums/Trapezoidal Rule Program (especially for large values of n!) Exam Topics Checklist
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.