cos(x) - tan(x)
cos(x) - tan(x)
Differentiate term by term:
The derivative of cosine is negative sine:
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:
The result is:
Now simplify:
The answer is:
2 -1 - tan (x) - sin(x)
/ / 2 \ \ -\2*\1 + tan (x)/*tan(x) + cos(x)/
2 / 2 \ 2 / 2 \ - 2*\1 + tan (x)/ - 4*tan (x)*\1 + tan (x)/ + sin(x)