Question

lim (tan(2(x+h)) - tan(2x))/h is?
h->0

a) 0
b) 2cot(2x)
c) sec^2(2x)
d) 2sec^2(2x)

I got lost in the Algebra any help would be great, thanks!

Answer 1

What does this remind you of?
\[\lim_{h \rightarrow 0}\frac{f(x+h)-f(x)}{h}\]

Answer 2

The Derivative formula. I am just having trouble simplifying the equation.

Answer 3

there is nothing to "simplify"
do you know the derivative of \(\tan(x)\)?

Answer 4

Ah I understand. Thank you!