Chain rule (version 1)
If and then we can have the following:
Since we are not given what are equal to in terms of , we write the following
For the second problem:
.
Remember,
I am confused on what to do with the chain rule. I have a problem that goes a bit like this:
Assume that x, y, and z are all functions of time, t. Use the chain rule to find dz/dt, in terms of x, y, dx/dt and dy/dt if z= sin(x y).
How do I use the chain rule to solve this? Please help me solve and tell me the steps you used to get to it. I have this so far: dz/dt = cosx dy/dt y dx/dt, but I'm pretty sure that's wrong.
Also, I'm confused on how to find the derivative for this one. I get kind of confused when there are squares along with it:
d/dx [sin(x^2)+cos^2(x)].
Any help GREATLY appreciated! Thanks so much.