What is (\partial)/(\partial x)(3x^2e^y) ?

The answer to (\partial)/(\partial x)(3x^2e^y) is 6e^yx

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(\partial)/(\partial x)(3x^2e^y)

\frac{\partial}{\partial x} (3 x^{2} e^{y})

6 e^{y} x

Solution steps

\frac{\partial}{\partial x} (3 x^{2} e^{y})

Treat

y

as a constant

Take the constant out:

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

= 3 e^{y} \frac{\partial}{\partial x} (x^{2})

Apply the Power Rule:

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

= 3 e^{y} \cdot 2 x^{2 - 1}

Simplify

= 6 e^{y} x

\frac{7}{s + 7}

y = x + 4, y = - x^{2} - x + 12

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

f (x) = \frac{2}{x + 1}, at x = - 3

\int \frac{x}{x ^{4}} d x

What is (\partial)/(\partial x)(3x^2e^y) ?
The answer to (\partial)/(\partial x)(3x^2e^y) is 6e^yx