Problem

Generalizing the Product Rule The Derivative Product Rule gives the formula for...

Generalizing the Product Rule The Derivative Product Rule gives the formula

for the derivative of the product u of two differentiable functions of x.

a. What is the analogous formula for the derivative of the product uvw of three differentiable functions of x?

b. What is the formula for the derivative of the product u1u2u3u4 of four differentiable functions of x?

c. What is the formula for the derivative of a product of a finite number n of differentiable functions of x?

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