Derivatives of Exponentials I

\frac{d}{d x} e^{5 x^{6} - 3 x^{5} - 3 x^{4} + x^{3} + 2 x^{2} - 3 x + 10}

=

\frac{d}{d x} e^{u}

=

\frac{d}{d u} (e^{u}) \frac{d u}{d x}

=

e^{u} (30 x^{5} - 15 x^{4} - 12 x^{3} + 3 x^{2} + 4 x - 3)

=

e^{5 x^{6} - 3 x^{5} - 3 x^{4} + x^{3} + 2 x^{2} - 3 x + 10} (30 x^{5} - 15 x^{4} - 12 x^{3} + 3 x^{2} + 4 x - 3)

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