______________ \/ 1 - sin(2*x)
sqrt(1 - sin(2*x))
Let .
Apply the power rule: goes to
Then, apply the chain rule. Multiply by :
Differentiate term by term:
The derivative of the constant is zero.
The derivative of a constant times a function is the constant times the derivative of the function.
Let .
The derivative of sine is cosine:
Then, apply the chain rule. Multiply by :
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 result of the chain rule is:
So, the result is:
The result is:
The result of the chain rule is:
The answer is:
-cos(2*x) ---------------- ______________ \/ 1 - sin(2*x)
2 cos (2*x) 2*sin(2*x) - ------------ 1 - sin(2*x) ------------------------- ______________ \/ 1 - sin(2*x)
/ 2 \ | 3*cos (2*x) 6*sin(2*x) | |4 - --------------- + ------------|*cos(2*x) | 2 1 - sin(2*x)| \ (1 - sin(2*x)) / --------------------------------------------- ______________ \/ 1 - sin(2*x)