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

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

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(\partial)/(\partial x)(x^2e^{yz^2})

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

2 e^{y z^{2}} x

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= e^{y z^{2}} \cdot 2 x^{2 - 1}

Simplify

= 2 e^{y z^{2}} x

x \to - 3.1 lim (x^{2})

\frac{d y}{d x} = \frac{x x ^{2} - y ^{2} + y ^{2}}{x y}

\int sin (\frac{x y}{2}) d y

x \to 0 lim (\frac{cos ( x )}{5 x})

\frac{d}{d t} (3 cos (2 t))

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