2 cos (x) 2 ------- - sin (x) 2
cos(x)^2/2 - sin(x)^2
Differentiate term by term:
The derivative of a constant times a function is the constant times the derivative of the function.
Let .
Apply the power rule: goes to
Then, apply the chain rule. Multiply by :
The derivative of cosine is negative sine:
The result of the chain rule is:
So, the result is:
The derivative of a constant times a function is the constant times the derivative of the function.
Let .
Apply the power rule: goes to
Then, apply the chain rule. Multiply by :
The derivative of sine is cosine:
The result of the chain rule is:
So, the result is:
The result is:
Now simplify:
The answer is:
/ 2 2 \ 3*\sin (x) - cos (x)/