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)

\frac{d ^{2}}{d x ^{2}} (4 x^{2})

\int_{0}^{2} \frac{x ^{2} + 2}{x + 1} d x

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

\int_{0}^{4} x e^{x + 2} d x

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

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)