Question

If y=xxube,than dy/dx=?​

Answer 1

Answer:

$\sf \dfrac{dy}{dx}=3 x^{2}$

Explanation:

We have given :

$\sf y=x^3$

We are asked to find d y / d x .

Apply power rule of  differentiation :

$\sf \longrightarrow \dfrac{d}{dx}(x^n)= n x^{n-1}$

Now diff. w.r.t. x

$\sf y=x^3$

$\sf \longrightarrow \dfrac{dy}{dx}=\dfrac{d}{dx}(x^3)$

$\sf \longrightarrow \dfrac{dy}{dx}=3\times x^{3-1}$

$\sf \longrightarrow \dfrac{dy}{dx}=3 x^{2}$

Hence we get required answer.

Read more :

$\sf If \ x=3 \cos t-2 \cos^3 t \ , y = 3\sin t- 2\sin^3 t$

$\sf Find \ \dfrac{d^2y}{dx^2}$

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