Differentiation Derivatives and differentials Power rule Chain rule

Differentiation Derivatives and differentials Power rule Chain rule Products and quotients Sinusoidal functions 1

Slope and derivative 0 2

Differentials are not numbers # +5 +4 +3 +2 +1 0 -1 -2 -3 -4 -5 3

Weierstrass function 0 4

Differentiation Derivatives and differentials Power rule Chain rule Products and quotients Sinusoidal functions 5

Derivative of a quadratic function 0 6

Derivative of power law 0 7

Derivative of power law 0 8

Differentiation Derivatives and differentials Power rule Chain rule Products and quotients Sinusoidal functions 9

Chain rule 0 10

Differentiation Derivatives and differentials Power rule Chain rule Products and quotients Sinusoidal functions 11

Product rule 0 12

Product rule 0 13

Quotient rule STOP For the quotient , what is the derivative? Why? 14

Differentiation Derivatives and differentials Power rule Chain rule Products and quotients Sinusoidal functions 15

Derivative of sine Recall angle-addition identity from video on trigonometry 16

Derivative of sine 0 1 1 17

Trigonometry: sine and cosine 1 0 -1 18

Derivative of cosine STOP Hint: 19

Differentiation Derivatives and differentials Power rule Chain rule Products and quotients Sinusoidal functions 20