Question

How do you find the derivative of `5^(x^2)`?

Answer 1

`5^(x^2) 2x ln5`

Explanation:

Let y = `5^(x^2)`

ln y= `x^2 ln5`. Now differentiate w.rt. x both sides,

`1/y dy/dx = 2x ln5`

`dy/dx = 5^(x^2) 2x ln 5`