What is the derivative of (13x^2-26x+26e^x) ?

The derivative of (13x^2-26x+26e^x) is 13e^xx^2

What is the first derivative of (13x^2-26x+26e^x) ?

The first derivative of (13x^2-26x+26e^x) is 13e^xx^2

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\frac{d}{d x} ((13 x^{2} - 26 x + 26) e^{x})

13 e^{x} x^{2}

Solution steps

\frac{d}{d x} ((13 x^{2} - 26 x + 26) e^{x})

Apply the Product Rule:

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

f = 13 x^{2} - 26 x + 26, g = e^{x}

= \frac{d}{d x} (13 x^{2} - 26 x + 26) e^{x} + \frac{d}{d x} (e^{x}) (13 x^{2} - 26 x + 26)

\frac{d}{d x} (13 x^{2} - 26 x + 26) = 26 x - 26

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

= (26 x - 26) e^{x} + e^{x} (13 x^{2} - 26 x + 26)

Simplify

(26 x - 26) e^{x} + e^{x} (13 x^{2} - 26 x + 26) : 13 e^{x} x^{2}

= 13 e^{x} x^{2}

\frac{d}{d x} (e^{\frac{x}{2}} + 4 x)

\int_{0}^{4.5} 100 x d x

4 x^{2} - 2 x, at x = - 1

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

x y^{^{'}} = 2 x^{2} + y, y (1) = 3

What is the derivative of (13x^2-26x+26e^x) ?
The derivative of (13x^2-26x+26e^x) is 13e^xx^2
What is the first derivative of (13x^2-26x+26e^x) ?
The first derivative of (13x^2-26x+26e^x) is 13e^xx^2