What is (\partial)/(\partial x)(2xy-3) ?

The answer to (\partial)/(\partial x)(2xy-3) is 2y

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(\partial)/(\partial x)(2xy-3)

\frac{\partial}{\partial x} (2 x y - 3)

2 y

Solution steps

\frac{\partial}{\partial x} (2 x y - 3)

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} (3)

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

\frac{\partial}{\partial x} (3) = 0

= 2 y - 0

Simplify

= 2 y

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

\frac{4}{x}, 3

t \to 1 lim (\frac{t ^{2} - 1}{t - 1})

\int_{1}^{b} \frac{1}{( x + 6 ) ^{2}} d x

f (x) = ln (4 - x^{2})

What is (\partial)/(\partial x)(2xy-3) ?
The answer to (\partial)/(\partial x)(2xy-3) is 2y