Question

Product Rule of the derivative is given by ________

(a) \(\frac{d(fg)}{dx}=\frac{d(g)}{dx}*\frac{d(f)}{dx}\)

(b) \(\frac{df}{dx}*\frac{dg}{dx}=\frac{d(g)}{dx}+\frac{d(f)}{dx}\)

(c) \(\frac{d(fg)}{dx}=f \frac{d(g)}{dx}*g \frac{d(f)}{dx}\)

(d) \(\frac{d(fg)}{dx}=f \frac{d(g)}{dx}+g \frac{d(f)}{dx}\)

The question was posed to me in my homework.

The doubt is from Derivatives of Area in chapter Differential Calculus of Engineering Mathematics

Answer 1

Correct option is (d) \(\frac{d(fg)}{dx}=f \frac{d(g)}{dx}+g \frac{d(f)}{dx}\)

Best explanation: Product Rule of derivative is given by,

\( \frac{d(fg)}{dx}=f \frac{d(g)}{dx}+g \frac{d(f)}{dx}\)