What is (\partial)/(\partial x)(y^2-12x) ?

The answer to (\partial)/(\partial x)(y^2-12x) is -12

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(\partial)/(\partial x)(y^2-12x)

\frac{\partial}{\partial x} (y^{2} - 12 x)

- 12

Solution steps

\frac{\partial}{\partial x} (y^{2} - 12 x)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (y^{2}) - \frac{\partial}{\partial x} (12 x)

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

\frac{\partial}{\partial x} (12 x) = 12

= 0 - 12

Simplify

= - 12

\frac{d y}{d x}, 5 + 4 x = sin (x y^{3})

\int (\frac{1}{8}) y_{1} e^{- \frac{y _{1} + y _{2}}{2}} d y_{2}

f (x) = 3 x^{2}

x \to - 2 lim (x^{2} + 2)

x \to 1 + lim (\frac{( x - 5 )}{x - 1})

What is (\partial)/(\partial x)(y^2-12x) ?
The answer to (\partial)/(\partial x)(y^2-12x) is -12