Computing Derivatives Exercises

Answer

For each of these functions, we need to do two things. First, rewrite the function to look better. Second, take the derivative of the better looking function.

• First, we rewrite the original function:

Next, we take the derivative:

Answer

• This problem is exactly the same as the previous one, but with 2 everywhere instead of 9. First, we rewrite the original function:

Next, we take the derivative:

Answer

• First, we rewrite:

h(x) = ln x¹⁰ = 10 ln x

Then we take the derivative:

Answer

• This one requires some heavy-duty rewriting.

Now we can take the derivative:

Answer

• This one also requires a fair bit of rewriting.

And now we take the derivative: