Calculus MTH 250 Lecture 9 Previous Lectures Summary

Calculus (MTH 250) Lecture 9

Previous Lecture’s Summary • Tangent lines: Recalls • Introduction to derivatives • Derivatives as rate of change • Differentiability and continuity • Non-differentiable functions • Useful derivatives

Today’s Lecture • Derivatives: Recall. • Derivatives of exponential functions • Rules of differentiation • Differentiation of trigonometric function • Summary of differentiation rules

Derivatives: Recall

Derivatives: Recall

Derivatives: Recalls

Derivative of exponential functions

Derivative of exponential functions

Rules of differentiation

Rules of differentiation

Rules of differentiation

Rules of differentiation

Rules of differentiation

Rules of differentiation

Rules of differentiation

Rules of differentiation Slope is zero at:

Rules of differentiation

Rules of differentiation

Rules of differentiation

Rules of differentiation

Rules of differentiation

Rules of differentiation

Rules of differentiation Example: Solution:

Differentiation of trigonometric functions Trigonometric identities:

Differentiation of trigonometric functions

Differentiation of trigonometric functions

Differentiation of trigonometric functions

Differentiation of trigonometric functions

Differentiation of trigonometric functions

Differentiation of trigonometric functions

Summary of differentiation rules

Summary of differentiation rules

Lecture Summary • Derivatives: Recall. • Derivatives of exponential functions • Rules of differentiation • Differentiation of trigonometric function • Summary of differentiation rules