Question

How do you differentiate `y=(3/2)^x`?

Answer 1

`((3) / (2))^(x) cdot ln((3) / (2))`

Explanation:

We have: `y = ((3) / (2))^(x)`

The derivative of any function of the form `f(x) = a^(x)` is given as: `f'(x) = a^(x) ln(a)`

`=> (d) / (dx) (((3) / (2))^(x)) = ((3) / (2))^(x) cdot ln((3) / (2))`