What is the derivative of sqrt(2e^{x^3)+1} ?

The derivative of sqrt(2e^{x^3)+1} is (3e^{x^3}x^2)/(sqrt(2e^{x^3)+1)}

What is the first derivative of sqrt(2e^{x^3)+1} ?

The first derivative of sqrt(2e^{x^3)+1} is (3e^{x^3}x^2)/(sqrt(2e^{x^3)+1)}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

2 e^{x^{3}} + 1

\frac{3 e ^{x^{3}} x ^{2}}{2 e ^{x^{3}} + 1}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (2 e^{x^{3}} + 1) = 6 e^{x^{3}} x^{2}

= \frac{1}{2 2 e ^{x^{3}} + 1} \cdot 6 e^{x^{3}} x^{2}

Simplify

\frac{1}{2 2 e ^{x^{3}} + 1} \cdot 6 e^{x^{3}} x^{2} : \frac{3 e ^{x^{3}} x ^{2}}{2 e ^{x^{3}} + 1}

= \frac{3 e ^{x^{3}} x ^{2}}{2 e ^{x^{3}} + 1}

\frac{d}{d y} (2 x e^{x y} + x^{2} y e^{x y})

\frac{\partial}{\partial y} (y^{2} - cos (x y))

x \to 0.99 lim (2 x^{2} - 5 x + 1)

\int 2 tan (x) d x

\int (1 - cot (x)) csc^{2} (x) d x

What is the derivative of sqrt(2e^{x^3)+1} ?
The derivative of sqrt(2e^{x^3)+1} is (3e^{x^3}x^2)/(sqrt(2e^{x^3)+1)}
What is the first derivative of sqrt(2e^{x^3)+1} ?
The first derivative of sqrt(2e^{x^3)+1} is (3e^{x^3}x^2)/(sqrt(2e^{x^3)+1)}