Question

Differentiate 5^x in respect to x

Answer 1

Given:

The term is $5^x$.

To find:

The differentiation of $5^x$ with respect to x.

Solution:

Formula used:

$\dfrac{d}{dx}a^x=a^x\log(a)$

Let the given function is:

$f(x)=5^x$

Here, a=5.

Differentiate the given function with respect to x.

$f'(x)=5^x\log(5)$

Therefore, the derivative of $5^x$ with respect to x is $5^x\log(5)$.