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

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

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

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

3

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 3 - 0

Simplify

= 3

\int_{1}^{6} \frac{1}{( 6 - x ) ^{\frac{2}{3}}} d x

\int \frac{3}{2} (t + 1)^{\frac{1}{2}} d t

\frac{1}{t} \frac{d y}{d t} - \frac{1}{1 + t ^{2}} = 0

\frac{x ^{3} + 7}{x}

\int x^{2} \cdot ln (2 x - 3) d x

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