What is (\partial)/(\partial x)(6xy-5x^2y) ?

The answer to (\partial)/(\partial x)(6xy-5x^2y) is 6y-10yx

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(\partial)/(\partial x)(6xy-5x^2y)

\frac{\partial}{\partial x} (6 x y - 5 x^{2} y)

6 y - 10 y x

Solution steps

\frac{\partial}{\partial x} (6 x y - 5 x^{2} y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (6 x y) - \frac{\partial}{\partial x} (5 x^{2} y)

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

\frac{\partial}{\partial x} (5 x^{2} y) = 10 y x

= 6 y - 10 y x

x, 3

\frac{d y}{d x}, x^{2} = \frac{( 3 x + 5 y )}{3 x - 5 y}

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

\frac{5}{( s + 1 ) ^{2}}

\frac{d}{d x} (ln (\frac{7 x ^{2} + 8 x + 5}{8 x ^{3} - 1}))

What is (\partial)/(\partial x)(6xy-5x^2y) ?
The answer to (\partial)/(\partial x)(6xy-5x^2y) is 6y-10yx