What is the derivative of e^x(x^2+1) ?

The derivative of e^x(x^2+1) is e^x(x^2+1)+2xe^x

What is the first derivative of e^x(x^2+1) ?

The first derivative of e^x(x^2+1) is e^x(x^2+1)+2xe^x

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derivative of

e^{x} (x^{2} + 1)

e^{x} (x^{2} + 1) + 2 x e^{x}

Solution steps

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

Apply the Product Rule:

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

f = e^{x}, g = x^{2} + 1

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

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

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

= e^{x} (x^{2} + 1) + 2 x e^{x}

\frac{d}{d x} (\frac{e ^{x}}{1 - e ^{- x}})

\frac{\partial}{\partial y} (ln (x - 8 y))

x \to 6 lim (5)

x^{2} - 25, 25 - x^{2}

\frac{3}{2} x^{2}

What is the derivative of e^x(x^2+1) ?
The derivative of e^x(x^2+1) is e^x(x^2+1)+2xe^x
What is the first derivative of e^x(x^2+1) ?
The first derivative of e^x(x^2+1) is e^x(x^2+1)+2xe^x