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Solve the given problems.Show that the curve of $y=\tan ^{-1} x$ is always increasing.

Calculus 1 / AB

Chapter 27

Differentiation of Transcendental Functions

Section 4

Applications

Derivatives

Missouri State University

Baylor University

University of Nottingham

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

00:31

Find the slope of the curv…

05:40

Use the guidelines of this…

01:15

Write the equation of each…

03:26

Solve the given equations.…

03:33

Show that the sum tan $^{-…

06:52

Show that the curve $ y = …

01:58

Show that $\tan x>x$ fo…

01:25

Show that $ \tan x > x …

01:59

Find $y^{\prime}$ if tan $…

02:26

For the following exercise…

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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…

Find the slope of the curve $y=\tan ^{-1} x$ at $\left(1, \frac{\pi}{4}\righ…

Use the guidelines of this section to sketch the curve.

$ y = \tan^{…

Write the equation of each curve in its final position.The graph of $y=\…

Solve the given equations.$2 \tan ^{-1} x=\tan ^{-1} \frac{1}{4 x}$ Hint…

Show that the sum tan $^{-1} x+\tan ^{-1}(1 / x)$ is constant.

Show that the curve $ y = x - \tan^{-1} x $ has two slant asymptotes: $ y = …

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 $…

Find $y^{\prime}$ if tan $^{-1}(x y)=1+x^{2} y.$

For the following exercises, solve each problem.

Prove the formula f…

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The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

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