Derivative of a product

(fg)'=f'g+fg'

Result unit: — (funkcja)

What it describes

The rule for differentiating a product of two functions.

f, g

functions

The derivative of a product is NOT the product of the derivatives — you differentiate each factor separately and add them:

f'g+fg'

Differentiating products of functions.

Find the derivative of

x^2\sin x

Substitution

f=x^2

g=\sin x

Result

2x\sin x+x^2\cos x

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