Lloyd Allen

2021-11-20

Calculate. $\frac{d\left(2{x}^{5}\right)}{dx}$

Supoilign1964

Beginner2021-11-21Added 19 answers

Step 1

We have to calculate the following derivative:

$\frac{d\left(2{x}^{5}\right)}{dx}$

We know the formula of derivatives,

$\frac{{dx}^{n}}{dx}=n{x}^{n-1}$

$\frac{da{x}^{n}}{dx}=a\frac{{dx}^{n}}{dx}$ (where a is some constant)

Step 2

Applying above rule for the given derivative,

$\frac{d\left(2{x}^{5}\right)}{dx}=2\frac{{dx}^{5}}{dx}$

$=2\left(5{x}^{5-1}\right)$

$=10{x}^{4}$

Hence, required answer is$10{x}^{4}$ .

We have to calculate the following derivative:

We know the formula of derivatives,

Step 2

Applying above rule for the given derivative,

Hence, required answer is