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Popular >

(\partial)/(\partial x)((x^9)(y^6)+7(x^5)y)

Solution

\frac{\partial}{\partial x} ((x^{9}) (y^{6}) + 7 (x^{5}) y)

Solution

9 y^{6} x^{8} + 35 y x^{4}

Solution steps

\frac{\partial}{\partial x} ((x^{9}) (y^{6}) + 7 (x^{5}) y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (x^{9} y^{6}) + \frac{\partial}{\partial x} (7 x^{5} y)

\frac{\partial}{\partial x} (x^{9} y^{6}) = 9 y^{6} x^{8}

\frac{\partial}{\partial x} (7 x^{5} y) = 35 y x^{4}

= 9 y^{6} x^{8} + 35 y x^{4}

Popular Examples

integral of (2x^2-4x+4)/(sqrt(3+2x-x^2))

\int \frac{2 x ^{2} - 4 x + 4}{3 + 2 x - x ^{2}} d x

y^{^{'}} = y - y^{2}

\frac{d y}{d x} = 10 - y

limit as x approaches-5+of (x+10)/(x+5)

x \to - 5 + lim (\frac{x + 10}{x + 5})

integral of x^2e^{16x}

\int x^{2} e^{16 x} d x

Frequently Asked Questions (FAQ)

What is (\partial)/(\partial x)((x^9)(y^6)+7(x^5)y) ?
The answer to (\partial)/(\partial x)((x^9)(y^6)+7(x^5)y) is 9y^6x^8+35yx^4