Solution: What is the derivative with respect to x of 2 cos^2⁡(x^2 + 2) ?

What is the derivative with respect to x of 2 cos^2⁡(x^2 + 2)? How to find the derivative of trigonometric functions involving half-angle identities and double angle identities?

What is the derivative with respect to x of 2 cos^2⁡(x^2 + 2) ?

Problem Statement: CE Board November 1995

What is the derivative with respect to x of 2 cos^2⁡(x^2 + 2)?
  • A. 2sin (x2 + 2) cos (x2 + 2)
  • B. -2sin (x2 + 2) cos (x2 + 2)
  • C. 8x sin (x2 + 2) cos (x2 + 2)
  • D. -8x sin (x2 + 2) cos (x2 + 2)

Problem Answer:

The derivative is equal to 8xsin(x^2 + 2)cos(x^2 + 2)

Solution:

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