What is (\partial)/(\partial x)(x^7y^6+4x^6y) ?

The answer to (\partial)/(\partial x)(x^7y^6+4x^6y) is 7y^6x^6+24yx^5

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(\partial)/(\partial x)(x^7y^6+4x^6y)

\frac{\partial}{\partial x} (x^{7} y^{6} + 4 x^{6} y)

7 y^{6} x^{6} + 24 y x^{5}

Solution steps

\frac{\partial}{\partial x} (x^{7} y^{6} + 4 x^{6} y)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (x^{7} y^{6}) + \frac{\partial}{\partial x} (4 x^{6} y)

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

\frac{\partial}{\partial x} (4 x^{6} y) = 24 y x^{5}

= 7 y^{6} x^{6} + 24 y x^{5}

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

x \to 2 lim (e^{\frac{1}{0}})

y = 3 tan (x), at x = \frac{π}{6}

\int 8^{3} x d x

y^{^{'}} - \frac{6}{x} y = \frac{y ^{5}}{x ^{7}}

What is (\partial)/(\partial x)(x^7y^6+4x^6y) ?
The answer to (\partial)/(\partial x)(x^7y^6+4x^6y) is 7y^6x^6+24yx^5