Computing Derivatives Exercises

Answer

For each problem, we use the same general strategy we did for finding the derivative of tan x.

• First we rewrite the function:

Then we find the derivative:

Now we need to put the answer in terms of trig functions. If we split the denominator, we can write the answer as

Answer

• First we rewrite the function:

Next we use the quotient rule to find the derivative:

Finally, we write the answer in terms of trig functions.

Answer

• First, we rewrite the function:

Then we use the quotient rule to find the derivative:

Lastly, we rewrite the answer using trig functions.