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

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

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(\partial)/(\partial x)((2x+3)(y-2))

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

2 (y - 2)

Solution steps

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

Treat

y

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Sum/Difference Rule:

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

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

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

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

= (y - 2) (2 + 0)

Simplify

= 2 (y - 2)

y = x^{3} - 3 x + 1

\frac{d}{d x} (lo g_{3} (sin (x^{2})))

x \to - 2 + lim (2 - x)

\int x^{2} x + 5 d x

\int in y d y

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