What is the derivative of y=ln(x^{100}) ?

The derivative of y=ln(x^{100}) is (100)/x

What is the first derivative of y=ln(x^{100}) ?

The first derivative of y=ln(x^{100}) is (100)/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = ln (x^{100})

\frac{100}{x}

Solution steps

\frac{d}{d x} (ln (x^{100}))

Apply the chain rule:

\frac{1}{x ^{100}} \frac{d}{d x} (x^{100})

= \frac{1}{x ^{100}} \frac{d}{d x} (x^{100})

\frac{d}{d x} (x^{100}) = 100 x^{99}

= \frac{1}{x ^{100}} \cdot 100 x^{99}

Simplify

\frac{1}{x ^{100}} \cdot 100 x^{99} : \frac{100}{x}

= \frac{100}{x}

\int \frac{x ^{\frac{1}{4}}}{1 + x ^{\frac{1}{2}}} d x

y^{^{''}} + 4 y^{^{'}} + 5 y = 10 x + e^{- x}

\frac{\partial}{\partial x} (e^{y - x})

x \to 0 - lim (x + \frac{∣ x ∣}{x})

\frac{d y}{d x} + 3 y = \frac{3}{2}

What is the derivative of y=ln(x^{100}) ?
The derivative of y=ln(x^{100}) is (100)/x
What is the first derivative of y=ln(x^{100}) ?
The first derivative of y=ln(x^{100}) is (100)/x