What is (\partial)/(\partial x)(6y^8x^5-5y^7x^4) ?

The answer to (\partial)/(\partial x)(6y^8x^5-5y^7x^4) is 30y^8x^4-20y^7x^3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(6y^8x^5-5y^7x^4)

\frac{\partial}{\partial x} (6 y^{8} x^{5} - 5 y^{7} x^{4})

30 y^{8} x^{4} - 20 y^{7} x^{3}

Solution steps

\frac{\partial}{\partial x} (6 y^{8} x^{5} - 5 y^{7} x^{4})

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (6 y^{8} x^{5}) - \frac{\partial}{\partial x} (5 y^{7} x^{4})

\frac{\partial}{\partial x} (6 y^{8} x^{5}) = 30 y^{8} x^{4}

\frac{\partial}{\partial x} (5 y^{7} x^{4}) = 20 y^{7} x^{3}

= 30 y^{8} x^{4} - 20 y^{7} x^{3}

\int \frac{( x + 2 )}{x ^{2} + 4} d x

\int \frac{1}{3 cos ( u ) - 5 - 4 sin ( u )} d u

\int_{0}^{1} arcsin (x) d x

\frac{d}{d x} (x^{4 π})

What is (\partial)/(\partial x)(6y^8x^5-5y^7x^4) ?
The answer to (\partial)/(\partial x)(6y^8x^5-5y^7x^4) is 30y^8x^4-20y^7x^3