Question

Use implicit differentiation to find d^2y/dx^2 for 4x^5+11y=100.
I got the first step as 20x^4+11dy/dx=0. Then what is the next step?

Answer 1

\[{d^{2y}}\over{dx^{2}}\] ??????
Anyways, assuming that \[20x^4+11{{dy}\over{dx}}\] is your first derivative, then you can go about it like:
\[11{{dy}\over{dx}}=-20x^4\]
\[{{dy}\over{dx}}=-{{20x^4}\over{11}}\]

Answer 2

The problem should have been (d^2)y/dx^2. I don't know if that made a difference in how you solved this problem.

Answer 3

So they way it is written do you take the second derivative

Answer 4

Ah yes, I believe that is what they want.