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Popular >

derivative of D(2x^2e^x)

Solution

derivative of

D (2 x^{2} e^{x})

Solution

D \cdot 2 (2 x e^{x} + e^{x} x^{2})

Solution steps

\frac{d}{d x} (D \cdot 2 x^{2} e^{x})

Take the constant out:

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

= D \cdot 2 \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}

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

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

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

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

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x \to 3 lim (\frac{x + 2}{x - 2})

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Frequently Asked Questions (FAQ)

What is the derivative of D(2x^2e^x) ?
The derivative of D(2x^2e^x) is D*2(2xe^x+e^xx^2)
What is the first derivative of D(2x^2e^x) ?
The first derivative of D(2x^2e^x) is D*2(2xe^x+e^xx^2)