Find the derivative of each function.
Answer
For each problem, we use the same general strategy we did for finding the derivative of tan x.
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
Next we use the quotient rule to find the derivative:
Finally, we write the answer in terms of trig functions.
Then we use the quotient rule to find the derivative:
Lastly, we rewrite the answer using trig functions.
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