What is (\partial)/(\partial x)(6y^4x^5-5y^3x^4) ?

The answer to (\partial)/(\partial x)(6y^4x^5-5y^3x^4) is 30y^4x^4-20y^3x^3

Popular >

(\partial)/(\partial x)(6y^4x^5-5y^3x^4)

\frac{\partial}{\partial x} (6 y^{4} x^{5} - 5 y^{3} x^{4})

30 y^{4} x^{4} - 20 y^{3} x^{3}

Solution steps

\frac{\partial}{\partial x} (6 y^{4} x^{5} - 5 y^{3} x^{4})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (6 y^{4} x^{5}) - \frac{\partial}{\partial x} (5 y^{3} x^{4})

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

\frac{\partial}{\partial x} (5 y^{3} x^{4}) = 20 y^{3} x^{3}

= 30 y^{4} x^{4} - 20 y^{3} x^{3}

x \to 0 lim (I n \frac{sin ( x )}{x})

\frac{d}{d x} (4 x + \frac{600}{x} + 308)

y^{^{'}} + \frac{1}{x} y = \frac{7}{x ^{2}} + 3

x \to 1 lim (\frac{x - 3}{x ^{2} - 9})

\frac{d}{d x} (lo g_{4} (x^{2} - 9 x))

What is (\partial)/(\partial x)(6y^4x^5-5y^3x^4) ?
The answer to (\partial)/(\partial x)(6y^4x^5-5y^3x^4) is 30y^4x^4-20y^3x^3