cos(e)*c*x*tan(x)
d --(cos(e)*c*x*tan(x)) dx
The derivative of a constant times a function is the constant times the derivative of the function.
Apply the product rule:
; to find :
Apply the power rule: goes to
; to find :
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:
The result is:
So, the result is:
Now simplify:
The answer is:
/ 2 \ c*cos(e)*tan(x) + c*x*\1 + tan (x)/*cos(e)
/ 2 \ 2*c*\1 + tan (x)/*(1 + x*tan(x))*cos(e)