en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 9tan(x/3)

Solution

\frac{d}{d x} (9 tan (\frac{x}{3}))

Solution

3 sec^{2} (\frac{x}{3})

Solution steps

\frac{d}{d x} (9 tan (\frac{x}{3}))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 9 \frac{d}{d x} (tan (\frac{x}{3}))

Apply the chain rule:

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

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

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

= 9 sec^{2} (\frac{x}{3}) \frac{1}{3}

Simplify

9 sec^{2} (\frac{x}{3}) \frac{1}{3} : 3 sec^{2} (\frac{x}{3})

= 3 sec^{2} (\frac{x}{3})

Graph

Popular Examples

(\partial)/(\partial x)(((3x^2)/(2x+4))^3)

\frac{\partial}{\partial x} ((\frac{3 x ^{2}}{2 x + 4})^{3})

derivative of ln((e^t)/(1+e^t))derivative of

ln (\frac{e ^{t}}{1 + e ^{t}})

derivative of (8x^2-7y^3^5)

\frac{d}{d x} ((8 x^{2} - 7 y^{3})^{5})

integral of (4x^2+4x-6)/((x-6)(x-3)^2)

\int \frac{4 x ^{2} + 4 x - 6}{( x - 6 ) ( x - 3 ) ^{2}} d x

derivative of f(x)= 2/(x+1)derivative of

f (x) = \frac{2}{x + 1}

Frequently Asked Questions (FAQ)

What is the derivative of 9tan(x/3) ?
The derivative of 9tan(x/3) is 3sec^2(x/3)
What is the first derivative of 9tan(x/3) ?
The first derivative of 9tan(x/3) is 3sec^2(x/3)