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in Derivatives by (45.0k points)
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Differentiate the following functions with respect to x:

(x sin x + cos x)(ex + x2 log x)

1 Answer

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Best answer

Let, y = (x sin x + cos x)( ex + x2 log x)

We have to find dy/dx

As we can observe that y is a product of two functions say u and v where,

u = x sin x + cos x and v = (ex + x2 log x)

∴ y = uv

As we know that to find the derivative of product of two function we apply product rule of differentiation.

By product rule, we have –

∴ from equation 1, we can find dy/dx

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