Derivatives of Polynomials

\frac{d}{d x} (-6 x^{7} - 7 x^{6} - 2 x^{5} - 9 x^{4} - 3 x^{3} + 7 x^{2} + 7 x)

=

\frac{d}{d x} (-6 x^{7}) + \frac{d}{d x} (-7 x^{6}) + \frac{d}{d x} (-2 x^{5}) + \frac{d}{d x} (-9 x^{4}) + \frac{d}{d x} (-3 x^{3}) + \frac{d}{d x} (7 x^{2}) + \frac{d}{d x} (7 x)

=

- 6 \frac{d}{d x} (x^{7}) - 7 \frac{d}{d x} (x^{6}) - 2 \frac{d}{d x} (x^{5}) - 9 \frac{d}{d x} (x^{4}) - 3 \frac{d}{d x} (x^{3}) + 7 \frac{d}{d x} (x^{2}) + 7 \frac{d}{d x} (x)

=

- 6 (7 x^{6}) - 7 (6 x^{5}) - 2 (5 x^{4}) - 9 (4 x^{3}) - 3 (3 x^{2}) + 7 (2 x) + 7 (1)

=

-42 x^{6} - 42 x^{5} - 10 x^{4} - 36 x^{3} - 9 x^{2} + 14 x + 7

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