Find (d)/(dx)(7cos 4x) Answer:

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Find  (d)/(dx)(7cos 4x) Answer:

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Identify Function: We need to find the derivative of the function 7cos(4x) 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. The outer function in this case is 7cos(u), where u = 4x, and the inner function is 4x.Differentiate Outer Function: First, we differentiate the outer function with respect to its argument u. The derivative of cos(u) with respect to u is -sin(u). Since we have a constant multiple of 7, the derivative of 7cos(u) with respect to u is -7sin(u).Differentiate Inner Function: Next, we differentiate the inner function 4x with respect to x. The derivative of 4x with respect to x is 4.Apply Chain Rule: Now, we apply the chain rule by multiplying the derivative of the outer function by the derivative of the inner function. This gives us -7sin(u) * 4, where u = 4x.Substitute and Simplify: Substitute u back with 4x to get the final derivative. So, the derivative of 7cos(4x) with respect to x is -7sin(4x) * 4.Simplify the expression to get the final answer. -7sin(4x) * 4 = -28sin(4x).

Find $\frac{d}{d x}(7 \cos 4 x)$ $\newline$ Answer:

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