Question

calculate the derivatives of function f(x)=5x3​

Answer 1

Answer:

$\displaystyle{15x^2}}$

Step-by-step explanation:

Given :

f ( x )  = 5 x³

We have to derivative f ( x )

Using power rule i.e.

$\displaystyle{\dfrac{d}{dx} \ x^n=n.x^{n-1}}$

Now coming to question :

$\displaystyle{\dfrac{d}{dx} \ x^n=n.x^{n-1}}\\\\\\\displaystyle{\dfrac{d}{dx} \ 5x^3=3.\times5x^{3-1}}\\\\\\\displaystyle{\dfrac{d}{dx} \ 5x^3=3\times5x^2}\\\\\\\displaystyle{\dfrac{d}{dx} \ 5x^3=15x^2}$

Thus we get answer :

Answer 2

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