Derivatives of Polynomials

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

=

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

=

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

=

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

=

12 x^{2} - 16 x - 4

Algebra Analytic Geometry Differential Calculus Integral Calculus Home

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