Derivatives of Polynomials

\frac{d}{d x} (-4 x^{5} - 3 x^{4} - 3 x^{3} + 9 x^{2} + 2 x)

=

\frac{d}{d x} (-4 x^{5}) + \frac{d}{d x} (-3 x^{4}) + \frac{d}{d x} (-3 x^{3}) + \frac{d}{d x} (9 x^{2}) + \frac{d}{d x} (2 x)

=

- 4 \frac{d}{d x} (x^{5}) - 3 \frac{d}{d x} (x^{4}) - 3 \frac{d}{d x} (x^{3}) + 9 \frac{d}{d x} (x^{2}) + 2 \frac{d}{d x} (x)

=

- 4 (5 x^{4}) - 3 (4 x^{3}) - 3 (3 x^{2}) + 9 (2 x) + 2 (1)

=

-20 x^{4} - 12 x^{3} - 9 x^{2} + 18 x + 2

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