What is (\partial)/(\partial x)(6xy-12x) ?

The answer to (\partial)/(\partial x)(6xy-12x) is 6y-12

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(\partial)/(\partial x)(6xy-12x)

\frac{\partial}{\partial x} (6 x y - 12 x)

6 y - 12

Solution steps

\frac{\partial}{\partial x} (6 x y - 12 x)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (6 x y) - \frac{\partial}{\partial x} (12 x)

\frac{\partial}{\partial x} (6 x y) = 6 y

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

= 6 y - 12

(2 x + 4) d x + (3 y - 1) d y = 0

x \to 0 lim (\frac{1}{x + 3})

\int cos^{4} (2 x) sin (2 x) d x

\frac{d}{d x} (\frac{cos ( x )}{x ^{2}})

x \to - 6 lim (- 12)

What is (\partial)/(\partial x)(6xy-12x) ?
The answer to (\partial)/(\partial x)(6xy-12x) is 6y-12