2.4 Chain Rule. Chain Rule If y=f(u) is a differentiable function of u and u=g(x) is a differentiable function of x then y=f(g(x)) is a differentiable.

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Presentation transcript:

2.4 Chain Rule

Chain Rule If y=f(u) is a differentiable function of u and u=g(x) is a differentiable function of x then y=f(g(x)) is a differentiable function of x and

Try chain rule Find the derivative of

Answer Use chain rule

Try chain rule Find the derivative of

Answer Use chain rule

Chain rule with trig Find the derivative of

Answer Use chain rule

Chain rule and quotient rule Find the derivative of

Answer Use chain and quotient rules

Trig and chain rule

Chain rule again Find the derivative of y = sin πx

Answer Use chain rule

Derivative again Find the derivative of

Answer Use chain rule twice!!

Tangent line! Find the equation of the tangent line to

Answer Use chain rule and point-slope