What is the derivative of e^{5x-4x^2} ?

The derivative of e^{5x-4x^2} is e^{5x-4x^2}(5-8x)

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

The first derivative of e^{5x-4x^2} is e^{5x-4x^2}(5-8x)

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

e^{5 x - 4 x^{2}} (5 - 8 x)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (5 x - 4 x^{2}) = 5 - 8 x

= e^{5 x - 4 x^{2}} (5 - 8 x)

\frac{d}{d x} (\frac{x}{7 x + 1})

1 - x^{2}, x - 1

\int \frac{1}{x ln ( 10 )} d x

\frac{\partial}{\partial x} (\frac{( x + z )}{y - z})

n = 0 \sum \infty (- \frac{3}{2})^{n}

What is the derivative of e^{5x-4x^2} ?
The derivative of e^{5x-4x^2} is e^{5x-4x^2}(5-8x)
What is the first derivative of e^{5x-4x^2} ?
The first derivative of e^{5x-4x^2} is e^{5x-4x^2}(5-8x)