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

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

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

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

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

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

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

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

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

x \to + 0 - lim (\frac{2}{x})

\int csc^{2} (\frac{x}{8}) d x

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

\frac{d y}{d x} + (\frac{3}{x}) y = - 3 x - 5

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