What is the derivative of xtanh(x) ?

The derivative of xtanh(x) is tanh(x)+xsech^2(x)

What is the first derivative of xtanh(x) ?

The first derivative of xtanh(x) is tanh(x)+xsech^2(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (x tanh (x))

tanh (x) + x sech^{2} (x)

Solution steps

\frac{d}{d x} (x tanh (x))

Apply the Product Rule:

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

f = x, g = tanh (x)

= \frac{d x}{d x} tanh (x) + \frac{d}{d x} (tanh (x)) x

\frac{d x}{d x} = 1

\frac{d}{d x} (tanh (x)) = sech^{2} (x)

= 1 \cdot tanh (x) + sech^{2} (x) x

Simplify

= tanh (x) + x sech^{2} (x)

\int_{0}^{4} (4 x - x^{2})^{2} d x

\frac{d}{d x} ((x - 2)^{2} - 3 x)

\frac{d}{d x} (x lo g_{e} (2 x))

y^{''} (t)

f (x) = 3 - 2 x e^{x}, at x = 0

What is the derivative of xtanh(x) ?
The derivative of xtanh(x) is tanh(x)+xsech^2(x)
What is the first derivative of xtanh(x) ?
The first derivative of xtanh(x) is tanh(x)+xsech^2(x)