Obtain th derivative of y=5^x ?

To find the nth derivative of y = 5^x, we can use the chain rule.

Let u = 5^x, then y = u.

Taking the derivative of u with respect to x, we get:

du/dx = ln(5) * 5^x

Now, to find the nth derivative of y = 5^x, we can use the chain rule:

d^n y/dx^n = d^n u/dx^n = (ln(5))^n * 5^x

Therefore, the nth derivative of y = 5^x is (ln(5))^n * 5^x.