What is the derivative of (x-2e^x) ?

The derivative of (x-2e^x) is e^xx-e^x

What is the first derivative of (x-2e^x) ?

The first derivative of (x-2e^x) is e^xx-e^x

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

e^{x} x - e^{x}

Solution steps

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

Apply the Product Rule:

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

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

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

\frac{d}{d x} (x - 2) = 1

\frac{d}{d x} (e^{x}) = e^{x}

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

Simplify

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

= e^{x} x - e^{x}

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

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

x^{2} 1, 0, 1

\frac{4 s ^{3}}{( s + 5 ) ^{9}}

x \to 2 lim (5 x - 6)

What is the derivative of (x-2e^x) ?
The derivative of (x-2e^x) is e^xx-e^x
What is the first derivative of (x-2e^x) ?
The first derivative of (x-2e^x) is e^xx-e^x