Unit 3: Differentiation: Composite, Implicit, and Inverse Functions

The rule for differentiating a ________ function, where you differentiate the outside, leave the inside alone, and multiply by the derivative of the inside.

A function within another function, like a Russian nesting doll, composed of an inner and an ________ function.

A technique used to find dy/dx when 'y' is ________ up with 'x' in an equation, requiring the Chain Rule for 'y' terms.

The derivative of an inverse function at a point (b,a) is the ________ of the slope of the original function at the corresponding point (a,b).

Special inverse functions like arcsin(x) or arctan(x) that have their own derivative rules, which still require the ________ Rule.