Derivatives of Exponentials I

\frac{d}{d x} e^{6 x^{4} - 7 x^{3} + 2 x^{2} - 7 x - 2}

=

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

=

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

=

e^{u} (24 x^{3} - 21 x^{2} + 4 x - 7)

=

e^{6 x^{4} - 7 x^{3} + 2 x^{2} - 7 x - 2} (24 x^{3} - 21 x^{2} + 4 x - 7)

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