Lloyd Allen

2021-11-20

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

Supoilign1964

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 $10{x}^{4}$.

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