Physics, asked by sonisingh6, 7 months ago

if y=sinx then dy/dx at x=π/2 will be

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Answered by mrinalgautam44
9

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Answered by HanitaHImesh
3

\frac{dy}{dx} at x = π/2 is equal to 0.

Given,

y = Sin x

To Find,

\frac{dy}{dx} at x = π/2

Solution,

y = Sin x

Differentiating both sides we get,

\frac{dy}{dx} = \frac{d(Sin x)}{dx}

\frac{dy}{dx} = Cos x                (as we know differentiation of sin θ is cos θ)

Now we have to find the value of \frac{dy}{dx} when x = π/2

Substituting the value of x = π/2, we get

\frac{dy}{dx} = Cos (π/2)

\frac{dy}{dx} = 0

Thus, the final answer is 0.

#SPJ2

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