💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade Free for 7 Days

Like

Report

Show that $ \frac {d}{dx} \arctan (\tan x) = sech 2x. $

$\operatorname{sech} 2 x$

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Derivatives

Differentiation

Harvey Mudd College

Baylor University

Boston College

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:33

Show that $\tan (x / 2)$ h…

02:47

Verify the given identitie…

00:40

Prove the identity.$$\…

01:31

02:56

Prove that $\frac{d}{d x}(…

03:49

Prove that $$\frac{d}{d x}…

01:58

Show that $\tan x>x$ fo…

01:25

Show that $ \tan x > x …

05:02

Verify the following ident…

02:12

For the following exercise…

we know that seeking H squared of acts plus over one plus 10 h scored of X is one over sign hcgh Quarterbacks plus co sign Age scored of axe. We know this is equivalent to eat of the acts must eat of the night of acts over two squared plus each of the AKs plus E to the negative X over to swear us. This is a government too. Won over co sign h of two acts which simplifies to seek it h of two acts.

Numerade Educator

In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

Show that $\tan (x / 2)$ has the same sign as $\sin x$ for any real number $…

Verify the given identities.$$\tan \left(-\frac{x}{2}\right)=\cot x-\csc…

Prove the identity.$$\tan x \csc x=\sec x$$

Prove the identity.$$\frac{\tan x-\sin x}{2 \tan x}=\sin ^{2} \frac{x}{2…

Prove that $\frac{d}{d x}(\sec x)=\sec x \tan x$

Prove that $$\frac{d}{d x}(\sec x)=\sec x \tan x$$

Show that $\tan x>x$ for $0< x<\pi / 2 .[$Hint : Show that $f(x)=\t…

Show that $ \tan x > x $ for $ 0 < x < \pi /2 $. [Hint: Show that $…

Verify the following identities.$$\tan x+\cot x=2 \csc (2 x)$$

For the following exercises, prove the identity given.$$\cot x-\tan …