Question

if y = x³ in x then the value of dy/dx​

Answer 1

Answer:

3 x^2

Step-by-step explanation:

I hope you got your ans

Answer 2

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

Given :

y = x³

To find :

The value of dy/dx

Solution :

Step 1 of 2 :

Write down the given function

Here the given function is

y = x³

Step 2 of 2 :

Find the value of dy/dx

y = x³

Differentiating both sides with respect to x we get

$\displaystyle \sf{ \frac{dy}{dx} = \frac{d}{dx}( {x}^{3} ) }$

$\displaystyle \sf{ \implies \frac{dy}{dx} = 3 {x}^{3 - 1} }$

$\displaystyle \sf{ \implies \frac{dy}{dx} = 3 {x}^{2} }$

$\boxed{ \: \: \displaystyle \sf{ \frac{dy}{dx} = 3 {x}^{2} } \: \: }$