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Show that $ \tan x > x $ for $ 0 < x < \pi /2 $. [Hint: Show that $ f(x) = \tan x - x $ is increasing on $ (0, \pi /2) $.]

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Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 3

How Derivatives Affect the Shape of a Graph

Derivatives

Differentiation

Volume

Catthie M.

June 18, 2021

Show that: tan(x-pi)= tan x

Campbell University

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

Lectures

04:35

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

06:14

A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.

02:29

Show that $\tan x>x$ fo…

01:55

he has clears the wing. You married here. So we're showing that fffx, which is equal to 10 of X minus X, is increasing on zero comma pi over too. So we have the first derivative which is equal to sequence square minus one. We see that sequence square minus one is bigger than zero for all of access between zero comma pie house. So f of X is increasing for these values. So just makes off of acts to be bigger than f of zero. So tangent minus X is bigger than zero, which makes 10 gent of acts bigger than X when x from zero. Come on, pi house.

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