en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of tan(e^x+e^{tan(x)})

Solution

\frac{d}{d x} (tan (e^{x}) + e^{t a n (x)})

Solution

sec^{2} (e^{x}) e^{x} + e^{t a n (x)} sec^{2} (x)

Solution steps

\frac{d}{d x} (tan (e^{x}) + e^{t a n (x)})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (tan (e^{x})) + \frac{d}{d x} (e^{t a n (x)})

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

\frac{d}{d x} (e^{t a n (x)}) = e^{t a n (x)} sec^{2} (x)

= sec^{2} (e^{x}) e^{x} + e^{t a n (x)} sec^{2} (x)

Graph

Popular Examples

tangent of y=x^2+5x+9 tangent of

y = x^{2} + 5 x + 9

limit as x approaches 0 of 5/(2x)

x \to 0 lim (\frac{5}{2 x})

sum from n=2 to infinity of 1/((2n+7)^3)

n = 2 \sum \infty \frac{1}{( 2 n + 7 ) ^{3}}

derivative of e^{3x^3}derivative of

e^{3 x^{3}}

integral from 1 to 2 of (x^5+x^{-5})

\int_{1}^{2} (x^{5} + x^{- 5}) d x

Frequently Asked Questions (FAQ)

What is the derivative of tan(e^x+e^{tan(x)}) ?
The derivative of tan(e^x+e^{tan(x)}) is sec^2(e^x)e^x+e^{tan(x)}sec^2(x)
What is the first derivative of tan(e^x+e^{tan(x)}) ?
The first derivative of tan(e^x+e^{tan(x)}) is sec^2(e^x)e^x+e^{tan(x)}sec^2(x)