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:

`(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)`.