en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of tan(xln(x))

Solution

\frac{d}{d x} (tan (x) ln (x))

Solution

sec^{2} (x) ln (x) + \frac{tan ( x )}{x}

Solution steps

\frac{d}{d x} (tan (x) ln (x))

Apply the Product Rule:

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

f = tan (x), g = ln (x)

= \frac{d}{d x} (tan (x)) ln (x) + \frac{d}{d x} (ln (x)) tan (x)

\frac{d}{d x} (tan (x)) = sec^{2} (x)

\frac{d}{d x} (ln (x)) = \frac{1}{x}

= sec^{2} (x) ln (x) + \frac{1}{x} tan (x)

\frac{1}{x} tan (x) = \frac{tan ( x )}{x}

= sec^{2} (x) ln (x) + \frac{tan ( x )}{x}

Popular Examples

limit as x approaches 3 of 4x^3-3x^2+x-5

x \to 3 lim (4 x^{3} - 3 x^{2} + x - 5)

(\partial)/(\partial y)(4xy-2x^2-y^4)

\frac{\partial}{\partial y} (4 x y - 2 x^{2} - y^{4})

tangent of-8sin(x)tangent of

- 8 sin (x)

derivative of x^4+2x^2+1

\frac{d}{d x} (x^{4} + 2 x^{2} + 1)

d/(dt)((cos(t))/t)

\frac{d}{d t} (\frac{cos ( t )}{t})

Frequently Asked Questions (FAQ)

What is the derivative of tan(xln(x)) ?
The derivative of tan(xln(x)) is sec^2(x)ln(x)+(tan(x))/x
What is the first derivative of tan(xln(x)) ?
The first derivative of tan(xln(x)) is sec^2(x)ln(x)+(tan(x))/x