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Monotone-functions
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Find the value of p for which the function f(x)=$\left(\frac{\sqrt{p+4}}{1-p}-1\right)x^{5}-3x+ln5$ decreases $\forall$x $\in\mathbb{R}$
August 19th, 2022
calculus
algebra-precalculus
monotone-functions
How to prove if function is strictly monotonic increasing
August 16th, 2022
functions
monotone-functions
Prove an inequality involving infimum and supremum
April 11th, 2020
metric-spaces
inequality
real-analysis
monotone-functions
supremum-and-infimum
Show function is monotonic and if it has maximum or minimum without second derivative
August 1st, 2022
calculus
functions
derivatives
monotone-functions
analysis
Show that function is monotonic: $f(x)=x^{2}-2x-1$
August 1st, 2022
functions
analysis
calculus
monotone-functions
What's the monotony of this function?
August 1st, 2022
monotone-functions
functions
Product of two monotonic real functions
November 4th, 2020
real-analysis
functions
monotone-functions
calculus
If $f$ be a decreasing function satisfying $f(x+y)= f(x)+ f(y)- f(x)f(y) ~\forall x, y \in \mathbb R$ and $f'(0)= -1$
December 14th, 2020
ordinary-differential-equations
monotone-functions
functional-equations
integration
calculus
$f(x) = \lfloor x \rfloor - \left\{ x \right\}:$ Increasing, Decreasing, Even , Odd, And/Or Invertible?
August 27th, 2020
functions
inverse-function
monotone-functions
parity
linear-algebra
Continuity of derivative of convex function
August 1st, 2022
derivatives
convex-analysis
monotone-functions
continuity
How do you prove the sum of monotone sequences is also monotone?
March 4th, 2020
monotone-functions
analysis
Determine if the following sequence is monotonic
October 18th, 2020
monotone-functions
monotone-class-theorem
calculus
sequences-and-series
divergent-series
Meaning of "Monotone" in Monotone Disjunction
August 1st, 2022
machine-learning
logic
monotone-functions
Showing monotonicity of sinh, cosh and tanh
January 18th, 2020
monotone-functions
proof-verification
inequality
Prove if a continuous function $f$ is one-to-one, it is monotonic.
August 1st, 2022
analysis
real-analysis
monotone-functions
functions
How to show this sequence is decreasing
May 14th, 2020
sequences-and-series
factorial
monotone-functions
Are all linear functions monotonic?
August 1st, 2022
analysis
monotone-functions
Positive derivative implies increasing without Mean Value Theorem
November 15th, 2021
real-analysis
derivatives
monotone-functions
calculus
Prove the inverse of a strictly increasing function is differentiable.
August 1st, 2022
derivatives
monotone-functions
analysis
real-analysis
prove that a function is monotonically increasing
August 1st, 2022
functions
monotone-functions
Monotonicity of the sum/product/max of two monotone functions
June 28th, 2021
monotone-functions
functions
Prove that sequence is monotone with induction
November 18th, 2020
monotone-functions
calculus
sequences-and-series
induction
Sum of monotone functions
August 1st, 2022
monotone-functions
summation
real-analysis
How to find the limit of the sequence $x_n =\frac{1}{2}[x_{n-1}+x_{n-2}]$, if $x_0=0$ and $x_1=1$?
August 1st, 2022
convergence-divergence
recurrence-relations
monotone-functions
sequences-and-series
analysis
The function $f (n) = (1 + 1 / n) ^ {n+1}$ is decreasing
August 1st, 2022
monotone-functions
Why are there no continuous one-to-one functions from (0, 1) onto [0, 1]?
August 1st, 2022
monotone-functions
proof-explanation
continuity
real-analysis
Prove $\lim \sup f (x_n) = f(\lim \sup (x_n)) $ and same for $\inf$
June 5th, 2020
compactness
continuity
real-analysis
monotone-functions
limsup-and-liminf
strictly increasing functions and bijection
August 1st, 2022
analysis
monotone-functions
functions
Every Absolutely continuous function is of bounded variation and hence is differentiable almost everywhere.
April 22nd, 2020
measure-theory
bounded-variation
monotone-functions
To show a sequence is bounded, monotone and to find its limit
October 19th, 2020
monotone-functions
real-analysis
analysis
sequences-and-series
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