What is (\partial)/(\partial x)(6x^8y^6+2x^7y^4) ?

The answer to (\partial)/(\partial x)(6x^8y^6+2x^7y^4) is 48y^6x^7+14y^4x^6

Popular >

(\partial)/(\partial x)(6x^8y^6+2x^7y^4)

\frac{\partial}{\partial x} (6 x^{8} y^{6} + 2 x^{7} y^{4})

48 y^{6} x^{7} + 14 y^{4} x^{6}

Solution steps

\frac{\partial}{\partial x} (6 x^{8} y^{6} + 2 x^{7} y^{4})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (6 x^{8} y^{6}) + \frac{\partial}{\partial x} (2 x^{7} y^{4})

\frac{\partial}{\partial x} (6 x^{8} y^{6}) = 48 y^{6} x^{7}

\frac{\partial}{\partial x} (2 x^{7} y^{4}) = 14 y^{4} x^{6}

= 48 y^{6} x^{7} + 14 y^{4} x^{6}

f (x) = - tan (x) - 5 cot (x)

\frac{d}{d x} (x (x - 1)^{3})

\int - x^{2} (x + 1)^{3} (x - 1) d x

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

\frac{d}{d x} (arctan (\frac{1 - x}{1 + x}))

What is (\partial)/(\partial x)(6x^8y^6+2x^7y^4) ?
The answer to (\partial)/(\partial x)(6x^8y^6+2x^7y^4) is 48y^6x^7+14y^4x^6