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  1. Given f(x) below, find f ′(x). Homework Help ✎

    1. f(x) = −x

    2. f(x) = 0

    3. f(x) = 9x + sin x

You should know by now that a derivative is a slope function. Notice that this is a linear equation, and linear equations have constant slopes.

SImilarly, this is a horizontal line. What is the slope of a horizontal line? That will also be the derivative.

Recall that the derivative of sin(x) is cos(x).