- #1
ScienceMan
- 12
- 1
Homework Statement
This is a chain rule problem that I can't seem to get right no matter what I do. It wants me to find the derivative of y=sqrt(x+sqrt(x+sqrt(x)))
Homework Equations
dy/dx=(dy/du)*(du/dx)
d/dx sqrtx=1/(2sqrtx)
d/dx x=1
(f(x)+g(x))'=f'(x)+g'(x)
The Attempt at a Solution
My attempted solution is dy/dx=1/(2sqrt(x+sqrt(x+sqrtx)))*(1+(1/(2sqrt(x+sqrtx))))*(1+(1/(2sqrtx))).
I took the derivative of the outermost function and left the inner function alone, then multiplied by the derivative of the inner function, and continuing until I reached the innermost function. I'm doing exactly what I was told to do in class and this approach has worked on all the other problems so far, but my online homework system isn't taking this as a solution. Where am I going wrong?