What is (\partial)/(\partial x)(5x^2-2y) ?

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

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(\partial)/(\partial x)(5x^2-2y)

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

10 x

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (2 y) = 0

= 10 x - 0

Simplify

= 10 x

\int (x^{\frac{3}{2}} + 8 x + 9) d x

f (x) = - 3 x^{2} + 6 x + 4, at x = 1

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

\frac{d y}{d x} = \frac{y}{y - x}

y = x^{2}, y = 9

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