The derivative of 1 COSX is simply SINX.
Here's why:
- Understanding the Function: 1 COSX is a trigonometric function where 1 is a constant and COSX is the cosine of the variable X.
- Derivative of a Constant: The derivative of any constant is always zero.
- Derivative of COSX: The derivative of COSX is -SINX.
Therefore, the derivative of 1 COSX is:
- d/dX (1 COSX) = 0 - SINX = -SINX
However, the question seems to have a typo. It's likely you meant to ask for the derivative of 1 + COSX. In this case, the derivative would be:
- d/dX (1 + COSX) = 0 - SINX = -SINX
Remember, the derivative of a sum is the sum of the derivatives.
