Find (d)/(dx)(-cos(-3x-10)) Answer:

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Find  (d)/(dx)(-cos(-3x-10)) Answer:

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Identify Functions: We need to find the derivative of the function -cos(-3x-10) with respect to x. We will use the chain rule, which states that the derivative of a composite function is the derivative of the outer function evaluated at the inner function times the derivative of the inner function.Derivative of Outer Function: First, let's identify the outer function and the inner function. The outer function is -cos(u), and the inner function is u = -3x - 10.Derivative of Inner Function: Now, we take the derivative of the outer function with respect to the inner function u. The derivative of -cos(u) with respect to u is sin(u), because the derivative of cos(u) is -sin(u) and we have an additional negative sign in front.Apply Chain Rule: Next, we take the derivative of the inner function u = -3x - 10 with respect to x. The derivative of -3x with respect to x is -3, and the derivative of a constant (-10) is 0. So, the derivative of u with respect to x is -3.Substitute Inner Function: Now, we apply the chain rule by multiplying the derivative of the outer function by the derivative of the inner function. This gives us sin(u) * (-3).Simplify Final Answer: Substitute the inner function u back into our expression to get the derivative in terms of x. This gives us sin(-3x - 10) * (-3).Finally, we simplify the expression to get the final answer. The derivative of -cos(-3x-10) with respect to x is -3sin(-3x - 10).

Find $\frac{d}{d x}(-\cos (-3 x-10))$ $\newline$ Answer:

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Find $\frac{d}{d x}(-\cos (-3 x-10))$ $\newline$ Answer: