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

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

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

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

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

\int x^{4} (1 - x^{2}) d x

f (x) = \frac{1}{( 1 + x )} 1

x^{^{'}} - a x - 1 = 0

\int_{0}^{1} x \cdot 3^{x^{2} + 1} d x

y^{^{''}} + 9 y^{^{'}} + 18 y = 0, y (0) = 1, y^{^{'}} (0) = 0

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