log(4)*log(2)*tan(x)
d --(log(4)*log(2)*tan(x)) dx
The derivative of a constant times a function is the constant times the derivative of the function.
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:
So, the result is:
Now simplify:
The answer is:
/ 2 \ \1 + tan (x)/*log(2)*log(4)
/ 2 \ 2*\1 + tan (x)/*log(2)*log(4)*tan(x)
/ 2 \ / 2 \ 2*\1 + tan (x)/*\1 + 3*tan (x)/*log(2)*log(4)