What is (\partial)/(\partial y)(7x^2e^y) ?

The answer to (\partial)/(\partial y)(7x^2e^y) is 7x^2e^y

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(\partial)/(\partial y)(7x^2e^y)

\frac{\partial}{\partial y} (7 x^{2} e^{y})

7 x^{2} e^{y}

Solution steps

\frac{\partial}{\partial y} (7 x^{2} e^{y})

Treat

x

as a constant

Take the constant out:

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

= 7 x^{2} \frac{\partial}{\partial y} (e^{y})

Apply the common derivative:

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

= 7 x^{2} e^{y}

f (x) = x^{3} x^{4} + 3 x^{2} - 2

e^{x}, e^{- x}, 0, 1

\int x^{2} \cdot e^{- x} d x

\int \frac{7}{x ^{2} x ^{2} + 36} d x

\int \frac{1}{x} e^{x} d x

What is (\partial)/(\partial y)(7x^2e^y) ?
The answer to (\partial)/(\partial y)(7x^2e^y) is 7x^2e^y