What is (\partial)/(\partial x)(9x^2y-3x^5y) ?

The answer to (\partial)/(\partial x)(9x^2y-3x^5y) is 18yx-15yx^4

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(\partial)/(\partial x)(9x^2y-3x^5y)

\frac{\partial}{\partial x} (9 x^{2} y - 3 x^{5} y)

18 y x - 15 y x^{4}

Solution steps

\frac{\partial}{\partial x} (9 x^{2} y - 3 x^{5} y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (9 x^{2} y) - \frac{\partial}{\partial x} (3 x^{5} y)

\frac{\partial}{\partial x} (9 x^{2} y) = 18 y x

\frac{\partial}{\partial x} (3 x^{5} y) = 15 y x^{4}

= 18 y x - 15 y x^{4}

\frac{\partial}{\partial x} (x \cdot y \cdot z)

x \to 4 + lim (\frac{( 7 x )}{x - 4})

\int \frac{8}{4 x ^{2} + 1} d x

y = 1 - x^{2}, y = 29 - 11 x

2 (3 x - 8)^{4} - 5 x + 6

What is (\partial)/(\partial x)(9x^2y-3x^5y) ?
The answer to (\partial)/(\partial x)(9x^2y-3x^5y) is 18yx-15yx^4