What is (\partial)/(\partial y)(2x^4y+1) ?

The answer to (\partial)/(\partial y)(2x^4y+1) is 2x^4

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(\partial)/(\partial y)(2x^4y+1)

\frac{\partial}{\partial y} (2 x^{4} y + 1)

2 x^{4}

Solution steps

\frac{\partial}{\partial y} (2 x^{4} y + 1)

Treat

x

as a constant

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial y} (2 x^{4} y) + \frac{\partial}{\partial y} (1)

\frac{\partial}{\partial y} (2 x^{4} y) = 2 x^{4}

\frac{\partial}{\partial y} (1) = 0

= 2 x^{4} + 0

Simplify

= 2 x^{4}

y = 4 x - x^{2}, y = 3 x

n = 4 \sum \infty \frac{4}{n ^{2} - 1}

\frac{7}{3 x - 1}

\frac{10}{s ^{3}}

x \to \infty lim (x^{2} + 12)

What is (\partial)/(\partial y)(2x^4y+1) ?
The answer to (\partial)/(\partial y)(2x^4y+1) is 2x^4