tan(x)
d --(tan(x)) dx
Rewrite the function to be differentiated:
Apply the quotient rule, which is:
and .
To find :
The derivative of sine is cosine:
To find :
The derivative of cosine is negative sine:
Now plug in to the quotient rule:
Now simplify:
The answer is:
/ 2 \ 2*\1 + tan (x)/*tan(x)
/ 2 \ / 2 \ 2*\1 + tan (x)/*\1 + 3*tan (x)/