Find (d)/(dx)(-7cos x+2) Answer:

Identify function: Identify the function to differentiate. We are given the function f(x) = -7cos(x) + 2 and we need to find its derivative with respect to x.Apply rules: Apply the derivative rules. The derivative of a constant is 0, and the derivative of cos(x) with respect to x is -sin(x). We will use these rules to differentiate each term of the function.Differentiate first term: Differentiate the first term. The first term is -7cos(x). The derivative of cos(x) is -sin(x), so the derivative of -7cos(x) is -7 times the derivative of cos(x), which is -7(-sin(x)) = 7sin(x).Differentiate second term: Differentiate the second term. The second term is a constant, 2. The derivative of a constant is 0, so the derivative of 2 with respect to x is 0.Combine derivatives: Combine the derivatives of the terms. The derivative of the function f(x) = -7cos(x) + 2 is the sum of the derivatives of its terms, which is 7sin(x) + 0.Simplify result: Simplify the result. Since adding 0 does not change the value, the final derivative of the function is simply 7sin(x).

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Find $\frac{d}{d x}(-7 \cos x+2)$ $\newline$ Answer:

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Algebra 1

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Q. Find

\frac{d}{d x}(-7 \cos x+2)

\newline

Answer:

Identify function: Identify the function to differentiate. $\newline$ We are given the function $f(x) = -7\cos(x) + 2$ and we need to find its derivative with respect to $x$ .
Apply rules: Apply the derivative rules. $\newline$ The derivative of a constant is $0$ , and the derivative of $\cos(x)$ with respect to $x$ is $-\sin(x)$ . We will use these rules to differentiate each term of the function.
Differentiate first term: Differentiate the first term. $\newline$ The first term is $-7\cos(x)$ . The derivative of $\cos(x)$ is $-\sin(x)$ , so the derivative of $-7\cos(x)$ is $-7$ times the derivative of $\cos(x)$ , which is $-7(-\sin(x)) = 7\sin(x)$ .
Differentiate second term: Differentiate the second term. $\newline$ The second term is a constant, $2$ . The derivative of a constant is $0$ , so the derivative of $2$ with respect to $x$ is $0$ .
Combine derivatives: Combine the derivatives of the terms. $\newline$ The derivative of the function $f(x) = -7\cos(x) + 2$ is the sum of the derivatives of its terms, which is $7\sin(x) + 0$ .
Simplify result: Simplify the result. $\newline$ Since adding $0$ does not change the value, the final derivative of the function is simply $7\sin(x)$ .