Derivatives of Polynomials

\frac{d}{d x} (-4 x^{2} + 8 x + 1)

=

\frac{d}{d x} (-4 x^{2}) + \frac{d}{d x} (8 x) + \frac{d}{d x} (1)

=

- 4 \frac{d}{d x} (x^{2}) + 8 \frac{d}{d x} (x) + \frac{d}{d x} (1)

=

- 4 (2 x) + 8 (1) + (0)

=

-8 x + 8

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Copyright © Dayal D. Purohit, Ph.D.(Mathematics)