Derivatives of Polynomials

\frac{d}{d x} (5 x - 8)

=

\frac{d}{d x} (5 x) + \frac{d}{d x} (-8)

=

5 \frac{d}{d x} (x) - 8 \frac{d}{d x} (1)

=

5 (1) - 8 (0)

=

5

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