Derivatives of Polynomials

\frac{d}{d x} (-8 x^{3} + 9 x^{2} - 2 x - 5)

=

\frac{d}{d x} (-8 x^{3}) + \frac{d}{d x} (9 x^{2}) + \frac{d}{d x} (-2 x) + \frac{d}{d x} (-5)

=

- 8 \frac{d}{d x} (x^{3}) + 9 \frac{d}{d x} (x^{2}) - 2 \frac{d}{d x} (x) - 5 \frac{d}{d x} (1)

=

- 8 (3 x^{2}) + 9 (2 x) - 2 (1) - 5 (0)

=

-24 x^{2} + 18 x - 2

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