What is (\partial)/(\partial x)(2xy+5x^2) ?

The answer to (\partial)/(\partial x)(2xy+5x^2) is 2y+10x

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(\partial)/(\partial x)(2xy+5x^2)

\frac{\partial}{\partial x} (2 x y + 5 x^{2})

2 y + 10 x

Solution steps

\frac{\partial}{\partial x} (2 x y + 5 x^{2})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (2 x y) + \frac{\partial}{\partial x} (5 x^{2})

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

\frac{\partial}{\partial x} (5 x^{2}) = 10 x

= 2 y + 10 x

f (x) = \frac{x ^{2}}{x + 9}, at x = 1

x \to 0 lim (\frac{x}{x ^{2} + 5 x})

y = x^{4} f (x)

\int \frac{1}{x ( 1 + ln ( x ) ) ^{4}} d x

\frac{6}{2 s + 1}

What is (\partial)/(\partial x)(2xy+5x^2) ?
The answer to (\partial)/(\partial x)(2xy+5x^2) is 2y+10x