What is (\partial)/(\partial x)(72y^7x^7-56y^6x^6) ?

The answer to (\partial)/(\partial x)(72y^7x^7-56y^6x^6) is 504y^7x^6-336y^6x^5

Popular >

(\partial)/(\partial x)(72y^7x^7-56y^6x^6)

\frac{\partial}{\partial x} (72 y^{7} x^{7} - 56 y^{6} x^{6})

504 y^{7} x^{6} - 336 y^{6} x^{5}

Solution steps

\frac{\partial}{\partial x} (72 y^{7} x^{7} - 56 y^{6} x^{6})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (72 y^{7} x^{7}) - \frac{\partial}{\partial x} (56 y^{6} x^{6})

\frac{\partial}{\partial x} (72 y^{7} x^{7}) = 504 y^{7} x^{6}

\frac{\partial}{\partial x} (56 y^{6} x^{6}) = 336 y^{6} x^{5}

= 504 y^{7} x^{6} - 336 y^{6} x^{5}

\frac{1 - x}{1 + x}

x \to 0 lim (\frac{5 x + 6}{x})

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

\int 1 x (4 - 2 (x - 3)) d x

(- 5, - 1), (- 1, 5)

What is (\partial)/(\partial x)(72y^7x^7-56y^6x^6) ?
The answer to (\partial)/(\partial x)(72y^7x^7-56y^6x^6) is 504y^7x^6-336y^6x^5