What is (\partial)/(\partial y)(5x^4y) ?

The answer to (\partial)/(\partial y)(5x^4y) is 5x^4

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(\partial)/(\partial y)(5x^4y)

\frac{\partial}{\partial y} (5 x^{4} y)

5 x^{4}

Solution steps

\frac{\partial}{\partial y} (5 x^{4} y)

Treat

x

as a constant

Take the constant out:

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

= 5 x^{4} \frac{\partial}{\partial y} (y)

Apply the common derivative:

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

= 5 x^{4} \cdot 1

Simplify

= 5 x^{4}

\frac{d}{d x} (5^{x} - 1)

\frac{sin ( x ) + cos ( x )}{e ^{x}}

\int (3 x + 1) (3 x^{2} + 2 x)^{\frac{1}{3}} d x

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

x \to 0 lim (\frac{2 x + 1}{∣ x ∣})

What is (\partial)/(\partial y)(5x^4y) ?
The answer to (\partial)/(\partial y)(5x^4y) is 5x^4