- #1

cal.queen92

- 43

- 0

## Homework Statement

If f(x) = 2sin(x) + (4x)^x find ---> f ' (3)

## Homework Equations

d/dx (e^u) = e^u du/dx

## The Attempt at a Solution

Here is my attempt:

f(x) = 2sin(x) + e^(ln(4x)^x) = 2sin(x) + e^(xln4x) = d/dx (2sin(x)) + d/dx (e^(xln4x))

= 2cos(x) + e^(xln4x) d/dx (xln4x) = 2cos(x) + e^(ln(4x)^x)*(4x+(x/4x))

= 2cos(x) + ((4x)^x) * (4x+(1/4)) = (unsimplified) --> (2cos(3) + (12)^3)(12+(1/4)

But this answer is incorrect. What am i doing wrong?