What is (\partial)/(\partial x)(6x^2y+6xy^3) ?

The answer to (\partial)/(\partial x)(6x^2y+6xy^3) is 12yx+6y^3

Popular >

(\partial)/(\partial x)(6x^2y+6xy^3)

\frac{\partial}{\partial x} (6 x^{2} y + 6 x y^{3})

12 y x + 6 y^{3}

Solution steps

\frac{\partial}{\partial x} (6 x^{2} y + 6 x y^{3})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (6 x^{2} y) + \frac{\partial}{\partial x} (6 x y^{3})

\frac{\partial}{\partial x} (6 x^{2} y) = 12 y x

\frac{\partial}{\partial x} (6 x y^{3}) = 6 y^{3}

= 12 y x + 6 y^{3}

x \to - 5 lim (g (x))

\frac{d}{d x} (\frac{x}{x ^{2} + y ^{2} + z ^{2}})

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

\frac{\partial}{\partial x} (x yz + x y^{5} + y z^{5} + z x^{5})

y = x^{2} - 3, y = 1

What is (\partial)/(\partial x)(6x^2y+6xy^3) ?
The answer to (\partial)/(\partial x)(6x^2y+6xy^3) is 12yx+6y^3