What is the derivative of \sqrt[3]{x}(sqrt(x)+3) ?

The derivative of \sqrt[3]{x}(sqrt(x)+3) is (5sqrt(x)+6)/(6x^{2/3)}

What is the first derivative of \sqrt[3]{x}(sqrt(x)+3) ?

The first derivative of \sqrt[3]{x}(sqrt(x)+3) is (5sqrt(x)+6)/(6x^{2/3)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{5 x + 6}{6 x ^{\frac{2}{3}}}

Solution steps

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

\frac{d}{d x} (x + 3) = \frac{1}{2 x}

Simplify

= \frac{5 x + 6}{6 x ^{\frac{2}{3}}}

\int_{1}^{2} \frac{1}{x} - x d x

\int cot (y) d y

x \to 0 + lim (x (1 - cos (\frac{1}{x})))

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

\frac{d x}{d t} - 5 x = sin (2 t), x (0) = π

What is the derivative of \sqrt[3]{x}(sqrt(x)+3) ?
The derivative of \sqrt[3]{x}(sqrt(x)+3) is (5sqrt(x)+6)/(6x^{2/3)}
What is the first derivative of \sqrt[3]{x}(sqrt(x)+3) ?
The first derivative of \sqrt[3]{x}(sqrt(x)+3) is (5sqrt(x)+6)/(6x^{2/3)}