Question

if y = sin x + ln(x^2) + e^2x then find dy/dx will be

Answer 1

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Answer 2

Concept

• In mathematics, real-time output of a real flexibility function measures the sensitivity to a change in operating value (output value) in relation to a change in your argument (input value).

Given

y = sin x + ln(x^2) + e^2x

Find

We have to find dy/dx of given equation

Solution

• Given equation $y=sinx+ln(x^2)+e^{2x}$

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

Hence the dy/dx of equation y = sin x + ln(x^2) + e^2x will be $cosx+\frac{2}{x}+2e^{2x}$

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