1 ------- - 1 2 cos (x)
1/(cos(x)^2) - 1
Differentiate term by term:
Let .
Apply the power rule: goes to
Then, apply the chain rule. Multiply by :
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:
The result of the chain rule is:
The derivative of the constant is zero.
The result is:
The answer is:
2*sin(x) -------------- 2 cos(x)*cos (x)
/ 2 \ | 3*sin (x)| 2*|1 + ---------| | 2 | \ cos (x) / ----------------- 2 cos (x)