Derivatives of Polynomials

\frac{d}{d x} (-9 x^{7} + 8 x^{4} + 9 x^{3} + 5 x^{2} - 6 x - 9)

=

\frac{d}{d x} (-9 x^{7}) + \frac{d}{d x} (8 x^{4}) + \frac{d}{d x} (9 x^{3}) + \frac{d}{d x} (5 x^{2}) + \frac{d}{d x} (-6 x) + \frac{d}{d x} (-9)

=

- 9 \frac{d}{d x} (x^{7}) + 8 \frac{d}{d x} (x^{4}) + 9 \frac{d}{d x} (x^{3}) + 5 \frac{d}{d x} (x^{2}) - 6 \frac{d}{d x} (x) - 9 \frac{d}{d x} (1)

=

- 9 (7 x^{6}) + 8 (4 x^{3}) + 9 (3 x^{2}) + 5 (2 x) - 6 (1) - 9 (0)

=

-63 x^{6} + 32 x^{3} + 27 x^{2} + 10 x - 6

Algebra Analytic Geometry Differential Calculus Integral Calculus Home

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