Find (d)/(dx)(-sin x+1) Answer:

Identify Function: Identify the function to differentiate. We are given the function f(x) = -sin(x) + 1 and we need to find its derivative with respect to x.Apply Derivative Rules: Apply the derivative rules. The derivative of -sin(x) with respect to x is -cos(x), because the derivative of sin(x) is cos(x) and we must also consider the negative sign in front of sin(x). The derivative of a constant, such as +1, is 0.Combine Derivatives: Combine the derivatives. The derivative of the entire function f(x) = -sin(x) + 1 is the sum of the derivatives of its parts, which is -cos(x) + 0.Simplify Result: Simplify the result. Since adding 0 does not change the value, the final derivative is simply -cos(x).

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Find $\frac{d}{d x}(-\sin x+1)$ $\newline$ Answer:

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Q. Find

\frac{d}{d x}(-\sin x+1)

\newline

Answer:

Identify Function: Identify the function to differentiate. $\newline$ We are given the function $f(x) = -\sin(x) + 1$ and we need to find its derivative with respect to $x$ .
Apply Derivative Rules: Apply the derivative rules. $\newline$ The derivative of $-\sin(x)$ with respect to $x$ is $-\cos(x)$ , because the derivative of $\sin(x)$ is $\cos(x)$ and we must also consider the negative sign in front of $\sin(x)$ . $\newline$ The derivative of a constant, such as $+1$ , is $0$ .
Combine Derivatives: Combine the derivatives. $\newline$ The derivative of the entire function $f(x) = -\sin(x) + 1$ is the sum of the derivatives of its parts, which is $-\cos(x) + 0$ .
Simplify Result: Simplify the result. $\newline$ Since adding $0$ does not change the value, the final derivative is simply $-\cos(x)$ .