What is (\partial)/(\partial x)(x^{y+z}) ?

The answer to (\partial)/(\partial x)(x^{y+z}) is (y+z)x^{y+z-1}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(x^{y+z})

\frac{\partial}{\partial x} (x^{y + z})

(y + z) x^{y + z - 1}

Solution steps

\frac{\partial}{\partial x} (x^{y + z})

Treat

y, z

as constants

Apply the Power Rule:

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

= (y + z) x^{y + z - 1}

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

x \to - 1 lim (x^{2} + 5 x + 6)

y^{^{''}} - 7 y^{^{'}} = - 3

x \to 0 + lim (ln (0.1))

\frac{\partial}{\partial x} (t^{3} e^{- \frac{x ^{2}}{2 t}})

What is (\partial)/(\partial x)(x^{y+z}) ?
The answer to (\partial)/(\partial x)(x^{y+z}) is (y+z)x^{y+z-1}