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

Identify Function: We are asked to find the derivative of the function -cos(x) with respect to x. The derivative of cos(x) with respect to x is -sin(x), according to the basic differentiation rules. Since we have a negative sign in front of cos(x), we will apply the constant multiple rule which states that the derivative of a constant times a function is the constant times the derivative of the function.Apply Constant Multiple Rule: Applying the constant multiple rule, we differentiate -cos(x) by multiplying the derivative of cos(x) with respect to x by the constant -1. The derivative of cos(x) is -sin(x), so the derivative of -cos(x) is -1 * (-sin(x)).Simplify Expression: Simplifying the expression, we get: -1 * (-sin(x)) = sin(x).

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

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Q. Find

\frac{d}{d x}(-\cos x)

\newline

Answer:

Identify Function: We are asked to find the derivative of the function $-\cos(x)$ with respect to $x$ . The derivative of $\cos(x)$ with respect to $x$ is $-\sin(x)$ , according to the basic differentiation rules. Since we have a negative sign in front of $\cos(x)$ , we will apply the constant multiple rule which states that the derivative of a constant times a function is the constant times the derivative of the function.
Apply Constant Multiple Rule: Applying the constant multiple rule, we differentiate $-\cos(x)$ by multiplying the derivative of $\cos(x)$ with respect to $x$ by the constant $-1$ . $\newline$ The derivative of $\cos(x)$ is $-\sin(x)$ , so the derivative of $-\cos(x)$ is $-1 \times (-\sin(x))$ .
Simplify Expression: Simplifying the expression, we get: $\newline$ $-1 \times (-\sin(x)) = \sin(x)$ .