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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.2 Powers and Polynomials, #16 · Calculus · Derivatives

If … is negative, is … always negative

If $df / d x$ is negative, is $f (x)$ always negative? Is $f (x)$ negative for large $x$ ? If you think otherwise, give examples.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.2 Powers and Polynomials, #16

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