_______ cos(x) - \/ x + 2 - 1
cos(x) - sqrt(x + 2) - 1
Differentiate term by term:
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.
Let .
Apply the power rule: goes to
Then, apply the chain rule. Multiply by :
Differentiate term by term:
Apply the power rule: goes to
The derivative of the constant is zero.
The result is:
The result of the chain rule is:
So, the result is:
The result is:
The derivative of the constant is zero.
The result is:
Now simplify:
The answer is:
1 -sin(x) - ----------- _______ 2*\/ x + 2
1 -cos(x) + ------------ 3/2 4*(2 + x)