What is (\partial)/(\partial x)(2xe^{x^2}) ?

The answer to (\partial)/(\partial x)(2xe^{x^2}) is 2(e^{x^2}+2e^{x^2}x^2)

Popular >

(\partial)/(\partial x)(2xe^{x^2})

\frac{\partial}{\partial x} (2 x e^{x^{2}})

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

Solution steps

\frac{\partial}{\partial x} (2 x e^{x^{2}})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{\partial}{\partial x} (x e^{x^{2}})

Apply the Product Rule:

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

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

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

\frac{\partial}{\partial x} (x) = 1

\frac{\partial}{\partial x} (e^{x^{2}}) = e^{x^{2}} \cdot 2 x

= 2 (1 \cdot e^{x^{2}} + e^{x^{2}} \cdot 2 xx)

Simplify

2 (1 \cdot e^{x^{2}} + e^{x^{2}} \cdot 2 xx) : 2 (e^{x^{2}} + 2 e^{x^{2}} x^{2})

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

\int (sec^{2} (π x) - x) d x

\frac{\partial}{\partial x} ((\frac{y x}{z w})^{\frac{1}{2}})

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

n = 1 \sum \infty \frac{cos ( nπ )}{n ^{2}}

x \to 2 lim (\frac{x + 47 - 7}{5 x - 10})

What is (\partial)/(\partial x)(2xe^{x^2}) ?
The answer to (\partial)/(\partial x)(2xe^{x^2}) is 2(e^{x^2}+2e^{x^2}x^2)