What is the derivative of f(x)=(11x^2-22x+22)e^x ?

The derivative of f(x)=(11x^2-22x+22)e^x is 11e^xx^2

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

The first derivative of f(x)=(11x^2-22x+22)e^x is 11e^xx^2

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derivative of

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

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}

\frac{d}{d x} (\frac{x ^{6}}{3} - 2 x)

\int x^{11} e^{x^{12}} d x

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

\int \frac{35}{35 + e ^{x}} d x

n = 1 \sum \infty 4^{- n}

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