Question

find dy/dx, y=x²e²^x(x²+1)⁴​

Answer 1

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Answer 2

Given:

y = x²e²^x(x²+1)⁴​

To find:

dy/dx

solution:

we can solve this by differentiating y with respect to x:

on differentiating we get,

$\frac{dy}{dx}=\frac{d}{dx} (x^{2} *e^{2} ^{x(x^{2}+1)^{4} } )$

    $=e^{2x(x^{2} +1)^{4} }x^{2} ( 16x^{2} (x^{2} +1)^{3} +2(x^{2} +1)^{4} )+2e^{2x(x^{2} +1)^{4} } x$

$\frac{dy}{dx} =e^{2x(x^{2} +1)^{4} }x^{2} ( 16x^{2} (x^{2} +1)^{3} +2(x^{2} +1)^{4} )+2e^{2x(x^{2} +1)^{4} } x$

Hence found