What is (\partial)/(\partial x)(6x-6y+5xy) ?

The answer to (\partial)/(\partial x)(6x-6y+5xy) is 5y+6

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(\partial)/(\partial x)(6x-6y+5xy)

\frac{\partial}{\partial x} (6 x - 6 y + 5 x y)

5 y + 6

Solution steps

\frac{\partial}{\partial x} (6 x - 6 y + 5 x y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (6 x) - \frac{\partial}{\partial x} (6 y) + \frac{\partial}{\partial x} (5 x y)

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

\frac{\partial}{\partial x} (6 y) = 0

\frac{\partial}{\partial x} (5 x y) = 5 y

= 6 - 0 + 5 y

Simplify

= 5 y + 6

\frac{d}{d x} (tan (sin (5 x)))

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\int x (3 sec^{2} (x) + tan^{2} (x)) d x

What is (\partial)/(\partial x)(6x-6y+5xy) ?
The answer to (\partial)/(\partial x)(6x-6y+5xy) is 5y+6