Find the rate of change of the function $$f ( x ) = - x + \cos x$$ .
A) $- \sin x + 1$
B) $\sin x - 1$
C) $- \sin x - 1$
D) $- \sin x - x$
E) $\sin x + 1$

Name: Find the rate of change of the function \[f ( x ) = - x + \cos x\] . A) $- \sin x + 1$ B) $\sin x - 1$ C) $- \sin x - 1$ D) $- \sin x - x$ E) $\sin x + 1$
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Question

Find the rate of change of the function $$f ( x ) = - x + \cos x$$ . ​
A)​ $- \sin x + 1$
B)​ $\sin x - 1$
C)​ $- \sin x - 1$
D)​ $- \sin x - x$
E)​ $\sin x + 1$

Quizplus · Accepted Answer

The rate of change of the function is its derivative. The derivative of $-x$ is $-1$ and the derivative of $\cos x$ is $-\sin x$. Thus, the derivative is $-\sin x - 1$.

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Find the Rate of Change of the Function $f ( x ) = - x + \cos x$