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Find 
(d)/(dx)(-cos x+5)
Answer:

Find ddx(cosx+5) \frac{d}{d x}(-\cos x+5) \newlineAnswer:

Full solution

Q. Find ddx(cosx+5) \frac{d}{d x}(-\cos x+5) \newlineAnswer:
  1. Identify Function: We are asked to find the derivative of the function cos(x)+5-\cos(x) + 5 with respect to xx. The derivative of a function gives us the rate at which the function's value changes with respect to changes in the variable xx. To find the derivative, we will use the basic differentiation rules for trigonometric functions and constants.
  2. Differentiate Term by Term: The function we are differentiating is cos(x)+5-\cos(x) + 5. We can differentiate this function term by term. The derivative of cos(x)-\cos(x) with respect to xx is sin(x)\sin(x), because the derivative of cos(x)\cos(x) is sin(x)-\sin(x) and we have a negative sign in front of cos(x)\cos(x). The derivative of a constant, like 55, is 00.
  3. Combine Results: Combining the results from the previous step, the derivative of cos(x)-\cos(x) is (sin(x))-(-\sin(x)) which simplifies to sin(x)\sin(x), and the derivative of 55 is 00. So, the derivative of the entire function cos(x)+5-\cos(x) + 5 is sin(x)+0\sin(x) + 0.
  4. Simplify Expression: Simplifying the expression from the previous step, we get that the derivative of cos(x)+5-\cos(x) + 5 with respect to xx is simply sin(x)\sin(x), since adding 00 does not change the value.

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