Question

How do you differentiate `f(x)=x^4+4^x`?

Answer 1

Let's see.

Explanation:

For doing this one, you need to know especially two formulas `rarr`

(1). `d/dx(x^n)=nx^(n-1)`.

(2). `d/dx(a^x)=a^xlna`.

Now let the given function be `y`, such that `y=f(x)`.

`:.y=x^4+4^x`

`:.dy/dx=4cdotx^(4-1)+4^xln4`

`:.dy/dx=4x^3+4^xln4`.

Hope it Helps:)