What is (\partial)/(\partial x)(Tx^5y^4z^8) ?

The answer to (\partial)/(\partial x)(Tx^5y^4z^8) is 5Tx^4y^4z^8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(Tx^5y^4z^8)

\frac{\partial}{\partial x} (T x^{5} y^{4} z^{8})

5 T x^{4} y^{4} z^{8}

Solution steps

\frac{\partial}{\partial x} (T x^{5} y^{4} z^{8})

Treat

T, y, z

as constants

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= T y^{4} z^{8} \frac{\partial}{\partial x} (x^{5})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= T y^{4} z^{8} \cdot 5 x^{5 - 1}

Simplify

= 5 T x^{4} y^{4} z^{8}

\frac{1}{s ^{2} + 5 s + 2}

(\frac{3 x + 2}{x - 1})^{7}

(2 x^{3} + 7)^{2}

\int x^{2} \cdot 4^{- x} d x

f (x) = x^{2}, (0, - 25)

What is (\partial)/(\partial x)(Tx^5y^4z^8) ?
The answer to (\partial)/(\partial x)(Tx^5y^4z^8) is 5Tx^4y^4z^8