Question

What is the derivative of `5^(x^2)`?

Answer 1

`2 ln(5) x 5^(x^2)`

Explanation:

You have to use exponential form :
`5^{x^2} = e^{x^2 ln(5)}`.

So , you know that the derivative of `e^{u}` is `u' e^{u}`, therefore, the derivative of `5^(x^2)` is

`2ln(5) x e^(x^2 ln(5)) = 2ln(5) x 5^(x^2)`.