2 / cos(x) \ \e + 2/
/ 2\ d |/ cos(x) \ | --\\e + 2/ / dx
Let .
Apply the power rule: goes to
Then, apply the chain rule. Multiply by :
Differentiate term by term:
Let .
The derivative of is itself.
Then, apply the chain rule. Multiply by :
The derivative of cosine is negative sine:
The result of the chain rule is:
The derivative of the constant is zero.
The result is:
The result of the chain rule is:
Now simplify:
The answer is:
/ cos(x) \ cos(x) -2*\e + 2/*e *sin(x)
/ 2 / cos(x)\ 2 cos(x) / cos(x)\ \ cos(x) 2*\sin (x)*\2 + e / + sin (x)*e - \2 + e /*cos(x)/*e
/ 2 / cos(x)\ 2 cos(x) / cos(x)\ cos(x) cos(x)\ cos(x) 2*\2 - sin (x)*\2 + e / - 3*sin (x)*e + 3*\2 + e /*cos(x) + 3*cos(x)*e + e /*e *sin(x)