What is (\partial)/(\partial x)(x^8y^8-x^7y^7) ?

The answer to (\partial)/(\partial x)(x^8y^8-x^7y^7) is 8y^8x^7-7y^7x^6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(x^8y^8-x^7y^7)

\frac{\partial}{\partial x} (x^{8} y^{8} - x^{7} y^{7})

8 y^{8} x^{7} - 7 y^{7} x^{6}

Solution steps

\frac{\partial}{\partial x} (x^{8} y^{8} - x^{7} y^{7})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 8 y^{8} x^{7} - 7 y^{7} x^{6}

\frac{\partial}{\partial x} (sinh (x))

\int 10 cos (3 x) d x

\frac{d}{d x} (\frac{x ^{2}}{4} \cdot sin (x - 2))

\int x^{4} (x^{2} - 3 x)^{2} d x

y^{^{''}} + 4 y = tan (2 t)

What is (\partial)/(\partial x)(x^8y^8-x^7y^7) ?
The answer to (\partial)/(\partial x)(x^8y^8-x^7y^7) is 8y^8x^7-7y^7x^6