Question

if y = x^2sinx , then dy/dx will be

Answer 1

dy/dx=sinx(2x)+x^2(cosx)

Answer 2

Answer:

$\frac{dy}{dx}= x^{2} cosx + 2xsinx$

Explanation:

For finding dy/dx in this question, we have :

We will use multiplication rule that states if a function is product of two types of functions in same variable then answer is given by the sum of first function kept constant while differentiating the other and differentiating the first function and keeping the other constant.

Step by Step:

$y=x^{2} sinx$

$\frac{dy}{dx}= x^{2} (\frac{d(sinx)}{x}) + sinx(\frac{d(x^{2} )}{x})$

$\frac{dy}{dx}= x^{2} * cosx + sinx*2x$

$\frac{dy}{dx}= x^{2} cosx + 2xsinx$

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