Derivatives of Polynomials

\frac{d}{d x} (-8 x^{4} + 7 x^{3} - 3 x^{2} - 3 x + 5)

=

\frac{d}{d x} (-8 x^{4}) + \frac{d}{d x} (7 x^{3}) + \frac{d}{d x} (-3 x^{2}) + \frac{d}{d x} (-3 x) + \frac{d}{d x} (5)

=

- 8 \frac{d}{d x} (x^{4}) + 7 \frac{d}{d x} (x^{3}) - 3 \frac{d}{d x} (x^{2}) - 3 \frac{d}{d x} (x) + 5 \frac{d}{d x} (1)

=

- 8 (4 x^{3}) + 7 (3 x^{2}) - 3 (2 x) - 3 (1) + 5 (0)

=

-32 x^{3} + 21 x^{2} - 6 x - 3

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