Math, asked by anjaholyaru7400, 10 months ago

drivitive of sin^2x​

Answers

Answered by dhruvsh
2

Answer:

Let f(x) = sin^2 x = (sin x)^2

So,

Derivative of f(x)

= d((sinx)^2)/d(sinx)*d(sinx)/dx

= 2sinx * cos x

= 2sinx cosx or sin 2x

Hope this helps you !

Answered by Anonymous
4

 \huge \fcolorbox{red}{pink}{Solution :)}

Given ,

The function is sin²x

Let , f(x) = sin²x

By using chain rule , we get

dy/dx = 2sinx × d(sinx)/dx

dy/dx = 2sinx × cosx

dy/dx = sin2x

Hence , the derivative of sin²x is sin2x

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