Find the derivative. The chain rule.

I am being asked to find the derivative by what I think is the chain rule of this equation:

Let u be:

This is the part I am having trouble understanding. The formula for the derivative of is given as:

Is that the chain rule? How was calculated?

Thanks in advance...

Re: Find the derivative. The chain rule.

Quote:

Originally Posted by

**sepoto** I am being asked to find the derivative by what I think is the chain rule of this equation:

.

Why do you complicate things?

Re: Find the derivative. The chain rule.

If you want to use substitution, let and then and . So,

.

Then we apply the Chain Rule:

Notice that on the RHS, you are now differentiating with respect to (which is what you want).

Now, we plug back in for from our substitution:

So,

Re: Find the derivative. The chain rule.

Quote:

Originally Posted by

**sepoto** I am being asked to find the derivative by what I think is the chain rule of this equation:

Let u be:

No. but that may be a typo.

Quote:

This is the part I am having trouble understanding. The formula for the derivative of

is given as:

Is that the chain rule? How was

calculated?

Thanks in advance...

Yes, that is the chain rule: if u is a function of f, then .

Here, so and .

Then .