Question

The derivative of the product of two functions is the product of derivatives of those two functions.

• A. True
• B. False

Answer 1

The correct option is B False

Recall what was discussed as product rule for differentiation. The derivative of the product of two functions is not the product of derivatives of the functions. Rather for two functions f(x) and g(x),
$\frac{d}{dx}\left(f\right(x)\times g(x\left)\right)=\frac{d}{d\left(x\right)}\left(f\right(x\left)\right)\times g\left(x\right)+\frac{d}{dx}\left(g\right(x\left)\right)\times f\left(x\right)$
So the above statement is false.