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Popular >

derivative of (11x^2-22x+22e^x)

Solution

\frac{d}{d x} ((11 x^{2} - 22 x + 22) e^{x})

Solution

11 e^{x} x^{2}

Solution steps

\frac{d}{d x} ((11 x^{2} - 22 x + 22) e^{x})

Apply the Product Rule:

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

f = 11 x^{2} - 22 x + 22, g = e^{x}

= \frac{d}{d x} (11 x^{2} - 22 x + 22) e^{x} + \frac{d}{d x} (e^{x}) (11 x^{2} - 22 x + 22)

\frac{d}{d x} (11 x^{2} - 22 x + 22) = 22 x - 22

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

= (22 x - 22) e^{x} + e^{x} (11 x^{2} - 22 x + 22)

Simplify

(22 x - 22) e^{x} + e^{x} (11 x^{2} - 22 x + 22) : 11 e^{x} x^{2}

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

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\frac{\partial}{\partial y} (ln (x^{2} + y^{2}) - z)

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(2 + y) d x - (3 - x) d y = 0

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integral of 7/(x^5)+8e^{2x}-4x

\int \frac{7}{x ^{5}} + 8 e^{2 x} - 4 x d x

Frequently Asked Questions (FAQ)

What is the derivative of (11x^2-22x+22e^x) ?
The derivative of (11x^2-22x+22e^x) is 11e^xx^2
What is the first derivative of (11x^2-22x+22e^x) ?
The first derivative of (11x^2-22x+22e^x) is 11e^xx^2