What is (\partial)/(\partial x)(6x^5y^6+8x^7y^8) ?

The answer to (\partial)/(\partial x)(6x^5y^6+8x^7y^8) is 30y^6x^4+56y^8x^6

Popular >

(\partial)/(\partial x)(6x^5y^6+8x^7y^8)

\frac{\partial}{\partial x} (6 x^{5} y^{6} + 8 x^{7} y^{8})

30 y^{6} x^{4} + 56 y^{8} x^{6}

Solution steps

\frac{\partial}{\partial x} (6 x^{5} y^{6} + 8 x^{7} y^{8})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (6 x^{5} y^{6}) + \frac{\partial}{\partial x} (8 x^{7} y^{8})

\frac{\partial}{\partial x} (6 x^{5} y^{6}) = 30 y^{6} x^{4}

\frac{\partial}{\partial x} (8 x^{7} y^{8}) = 56 y^{8} x^{6}

= 30 y^{6} x^{4} + 56 y^{8} x^{6}

\frac{\partial}{\partial x} (x arcsin (3 x))

f (x) = sin (4 x^{2})

x \to 0 lim (\frac{cos ( 2 x )}{sin ( 2 x )})

f (x) = x^{3} - 3 x^{2} + 2 x - 2, at x = 2

\frac{2}{r ^{3}}

What is (\partial)/(\partial x)(6x^5y^6+8x^7y^8) ?
The answer to (\partial)/(\partial x)(6x^5y^6+8x^7y^8) is 30y^6x^4+56y^8x^6