Derivatives of Polynomials

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

=

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

=

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

=

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

=

16 x^{7} + 35 x^{6} + 54 x^{5} - 35 x^{4} + 28 x^{3} - 27 x^{2} + 8 x + 6

Algebra Analytic Geometry Differential Calculus Integral Calculus Home

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