What is the derivative of e^{2x^2-5x} ?

The derivative of e^{2x^2-5x} is e^{2x^2-5x}(4x-5)

What is the first derivative of e^{2x^2-5x} ?

The first derivative of e^{2x^2-5x} is e^{2x^2-5x}(4x-5)

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\frac{d}{d x} (e^{2 x^{2} - 5 x})

e^{2 x^{2} - 5 x} (4 x - 5)

Solution steps

\frac{d}{d x} (e^{2 x^{2} - 5 x})

Apply the chain rule:

e^{2 x^{2} - 5 x} \frac{d}{d x} (2 x^{2} - 5 x)

= e^{2 x^{2} - 5 x} \frac{d}{d x} (2 x^{2} - 5 x)

\frac{d}{d x} (2 x^{2} - 5 x) = 4 x - 5

= e^{2 x^{2} - 5 x} (4 x - 5)

\int - \frac{2 x}{1 - x ^{2}} d x

in v erse l a pl a ce \frac{2}{s ^{2} + 4}

\int \frac{5 - 3 sin ( 2 x )}{sec ( 6 x )} d x

\int (\frac{x ^{2} + 1}{x}) d x

d er i v a t i v e \frac{1}{4 + x ^{2}}

What is the derivative of e^{2x^2-5x} ?
The derivative of e^{2x^2-5x} is e^{2x^2-5x}(4x-5)
What is the first derivative of e^{2x^2-5x} ?
The first derivative of e^{2x^2-5x} is e^{2x^2-5x}(4x-5)