What is the derivative of (7x^2-11xe^x) ?

The derivative of (7x^2-11xe^x) is 7e^xx^2+3e^xx-11e^x

What is the first derivative of (7x^2-11xe^x) ?

The first derivative of (7x^2-11xe^x) is 7e^xx^2+3e^xx-11e^x

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\frac{d}{d x} ((7 x^{2} - 11 x) e^{x})

7 e^{x} x^{2} + 3 e^{x} x - 11 e^{x}

Solution steps

\frac{d}{d x} ((7 x^{2} - 11 x) e^{x})

Apply the Product Rule:

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

f = 7 x^{2} - 11 x, g = e^{x}

= \frac{d}{d x} (7 x^{2} - 11 x) e^{x} + \frac{d}{d x} (e^{x}) (7 x^{2} - 11 x)

\frac{d}{d x} (7 x^{2} - 11 x) = 14 x - 11

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

= (14 x - 11) e^{x} + e^{x} (7 x^{2} - 11 x)

Simplify

(14 x - 11) e^{x} + e^{x} (7 x^{2} - 11 x) : 7 e^{x} x^{2} + 3 e^{x} x - 11 e^{x}

= 7 e^{x} x^{2} + 3 e^{x} x - 11 e^{x}

x \to 8 - lim (\frac{2 x}{x + 8})

y^{^{'}} - \frac{1}{x} y = (1 + ln (x)) y^{3}

f (x) = 4 x^{2}

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

\frac{d}{d x} (arcsin (3 x) ln (x + 1))

What is the derivative of (7x^2-11xe^x) ?
The derivative of (7x^2-11xe^x) is 7e^xx^2+3e^xx-11e^x
What is the first derivative of (7x^2-11xe^x) ?
The first derivative of (7x^2-11xe^x) is 7e^xx^2+3e^xx-11e^x