Home > Calculus > Derivative Rules for y=cos(x) and y=tan(x)

What is the derivative of # tan^2 y#?

Answer 1

#f'(y)=2sec^2(y)tan(y)#

Use the chain rule to differentiate.

#f(y)=tan^2(y)#

Take the derivative of the outermost term, #tan^2#, and multiply by the next inner term, #tan#, then finally by the innermost term, #y# (where the derivative of #y# is simply #1#).

#f'(y)=2tan(y)(sec^2(y))#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Charles Arocha

The derivative of tan^2(y) with respect to y is 2 * tan(y) * sec^2(y).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Trending questions

Not the question you need?

HIX Tutor

Solve ANY homework problem with a smart AI

98% accuracy study help
Covers math, physics, chemistry, biology, and more
Step-by-step, in-depth guides
Readily available 24/7