What is the derivative of y=11x^2e^x ?

The derivative of y=11x^2e^x is 11(2xe^x+e^xx^2)

What is the first derivative of y=11x^2e^x ?

The first derivative of y=11x^2e^x is 11(2xe^x+e^xx^2)

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derivative of

y = 11 x^{2} e^{x}

11 (2 x e^{x} + e^{x} x^{2})

Solution steps

\frac{d}{d x} (11 x^{2} e^{x})

Take the constant out:

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

= 11 \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}

= 11 (\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}

= 11 (2 x e^{x} + e^{x} x^{2})

\int_{1}^{7} \frac{1}{x} d x

\frac{x}{2 - x}

\frac{\partial}{\partial x} (\frac{x y}{4})

\int x^{3} - 30 x d x

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

What is the derivative of y=11x^2e^x ?
The derivative of y=11x^2e^x is 11(2xe^x+e^xx^2)
What is the first derivative of y=11x^2e^x ?
The first derivative of y=11x^2e^x is 11(2xe^x+e^xx^2)