What is (\partial)/(\partial x)((13x-1)(3y-1)) ?

The answer to (\partial)/(\partial x)((13x-1)(3y-1)) is 13(3y-1)

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(\partial)/(\partial x)((13x-1)(3y-1))

\frac{\partial}{\partial x} ((13 x - 1) (3 y - 1))

13 (3 y - 1)

Solution steps

\frac{\partial}{\partial x} ((13 x - 1) (3 y - 1))

Treat

y

as a constant

Take the constant out:

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

= (3 y - 1) \frac{\partial}{\partial x} (13 x - 1)

Apply the Sum/Difference Rule:

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

= (3 y - 1) (\frac{\partial}{\partial x} (13 x) - \frac{\partial}{\partial x} (1))

\frac{\partial}{\partial x} (13 x) = 13

\frac{\partial}{\partial x} (1) = 0

= (3 y - 1) (13 - 0)

Simplify

= 13 (3 y - 1)

y = ln (3 x - 7)

\int \frac{2 x ^{3} - x ^{2} + 2 x + 2}{x ^{2} + 1} d x

\frac{1}{x - 1}, 10

y^{^{''}} + π^{2} y = 2

2 x^{3} - 2 x^{2} + 12

What is (\partial)/(\partial x)((13x-1)(3y-1)) ?
The answer to (\partial)/(\partial x)((13x-1)(3y-1)) is 13(3y-1)