/ 2 \ sin\2*x - 3/
d / / 2 \\ --\sin\2*x - 3// dx
Let .
The derivative of sine is cosine:
Then, apply the chain rule. Multiply by :
Differentiate term by term:
The derivative of a constant times a function is the constant times the derivative of the function.
Apply the power rule: goes to
So, the result is:
The derivative of the constant is zero.
The result is:
The result of the chain rule is:
Now simplify:
The answer is:
/ 2 / 2\ / 2\\ 4*\- 4*x *sin\-3 + 2*x / + cos\-3 + 2*x //
/ / 2\ 2 / 2\\ -16*x*\3*sin\-3 + 2*x / + 4*x *cos\-3 + 2*x //