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

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

Popular >

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

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

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

Solution steps

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

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

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

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

\frac{\partial}{\partial x} (x \cdot e^{- x^{2} - y^{2}})

\int x 2 - x^{2} d x

\frac{x ^{2} d y}{d x} = y - x y, y [- 1] = - 4

\frac{\partial}{\partial x} (\frac{sin ( x )}{y ^{2}})

\frac{\partial}{\partial u ( v )} (\frac{e ^{v}}{u ( v ) + v ^{7}})

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