Unit 3: Composite, Implicit, and Inverse Differentiation

The Chain Rule (derivative of a composite function)

d/dx f(g(x)) = f'(g(x))g'(x)

Derivative of y

dy/dx

Derivative of y^2

2y(dy/dx)

Derivative of e^5y

e^(5y)(5dy/dx)

Horizontal Tangent Line

y' = 0 (focus on numerator, y=k)

Vertical Tangent Line

y' = undefined (focus on denominator, x=h)