What is the derivative of (x-1*e^{x^2-4}) ?

The derivative of (x-1*e^{x^2-4}) is e^{x^2-4}+2e^{x^2-4}x(x-1)

What is the first derivative of (x-1*e^{x^2-4}) ?

The first derivative of (x-1*e^{x^2-4}) is e^{x^2-4}+2e^{x^2-4}x(x-1)

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Popular >

\frac{d}{d x} ((x - 1) \cdot e^{x^{2} - 4})

e^{x^{2} - 4} + 2 e^{x^{2} - 4} x (x - 1)

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x - 1, g = e^{x^{2} - 4}

= \frac{d}{d x} (x - 1) e^{x^{2} - 4} + \frac{d}{d x} (e^{x^{2} - 4}) (x - 1)

\frac{d}{d x} (x - 1) = 1

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

= 1 \cdot e^{x^{2} - 4} + e^{x^{2} - 4} \cdot 2 x (x - 1)

Simplify

= e^{x^{2} - 4} + 2 e^{x^{2} - 4} x (x - 1)

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\int_{1}^{4} \frac{x ^{2} + 2}{5 x - x ^{2}} d x

x (25.5)

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

What is the derivative of (x-1*e^{x^2-4}) ?
The derivative of (x-1*e^{x^2-4}) is e^{x^2-4}+2e^{x^2-4}x(x-1)
What is the first derivative of (x-1*e^{x^2-4}) ?
The first derivative of (x-1*e^{x^2-4}) is e^{x^2-4}+2e^{x^2-4}x(x-1)