- #1
phosgene
- 146
- 1
Homework Statement
Find the derivative of:
[itex]1. f(x)=arccos(5x^3)[/itex]
[itex]2. f(x)=∫cos(5x)sin(5t)dt[/itex] when the integral is from 0 to x
Homework Equations
Chain rule, dy/dx=dy/du*du/dx
The Attempt at a Solution
For the first one, I can just take 5x^3 as u and then apply the chain rule to get
[itex]-15x^2/\sqrt{1-5x^3}[/itex]
but maple TA keeps telling me that it's incorrect...
As for the second one, I'm not sure how to approach something like that when x is actually in the integral, as in the cos(5x). I mean, when I'm applying the chain rule...do I have to include cos in my choice of u?