What is the derivative of f(x)=ln(x^3+10) ?

The derivative of f(x)=ln(x^3+10) is (3x^2)/(x^3+10)

What is the first derivative of f(x)=ln(x^3+10) ?

The first derivative of f(x)=ln(x^3+10) is (3x^2)/(x^3+10)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = ln (x^{3} + 10)

\frac{3 x ^{2}}{x ^{3} + 10}

Solution steps

\frac{d}{d x} (ln (x^{3} + 10))

Apply the chain rule:

\frac{1}{x ^{3} + 10} \frac{d}{d x} (x^{3} + 10)

= \frac{1}{x ^{3} + 10} \frac{d}{d x} (x^{3} + 10)

\frac{d}{d x} (x^{3} + 10) = 3 x^{2}

= \frac{1}{x ^{3} + 10} \cdot 3 x^{2}

Simplify

\frac{1}{x ^{3} + 10} \cdot 3 x^{2} : \frac{3 x ^{2}}{x ^{3} + 10}

= \frac{3 x ^{2}}{x ^{3} + 10}

\int x^{\frac{7}{5}} d x

\int \frac{x ^{3}}{49 + x ^{2}} d x

f (x) = arcsec (6 x)

\int \frac{3}{1 - 2 x} d x

e^{x^{5}}, 0

What is the derivative of f(x)=ln(x^3+10) ?
The derivative of f(x)=ln(x^3+10) is (3x^2)/(x^3+10)
What is the first derivative of f(x)=ln(x^3+10) ?
The first derivative of f(x)=ln(x^3+10) is (3x^2)/(x^3+10)