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Prove the following inequality $e^{\sin^{2} x}-e^{\cos^{2} x}≤(e-1)|\cos (2x)|$

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#inequality #absolute-value
162
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Differentiability at a "corner" in a physical sense

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#derivatives #physics #absolute-value
348
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Recursive absolute value functions

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#absolute-value #recursion
35
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Necessary conditions for solving equations including addition of multiple absolute value functions

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#matrix-equations #absolute-value #absolute-convergence
12.2k
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Proving the inequality $|a-b| \leq |a-c| + |c-b|$ for real $a,b,c$

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#real-analysis #inequality #proof-writing #absolute-value
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How to take derivative of sums of absolute values

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#derivatives #absolute-value
1.2k
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Derivatives of Norms and Absolute Values (distributions)

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#normed-spaces #distribution-theory #absolute-value #dirac-delta
51
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I need help on this differential equaion problem?

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#ordinary-differential-equations #absolute-value #vectors
1.4k
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Steps to Graph Exponential Equations & Absolute Value

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#functions #logarithms #graphing-functions #exponential-function #absolute-value
308
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Why is $f(x)=|x|$ not differentiable?

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#functions #derivatives #absolute-value
1.2k
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Solving inequalities with absolute values

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#inequality #problem-solving #absolute-value
1.6k
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Periodic absolute value function

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#real-analysis #self-learning #absolute-value #periodic-functions
100
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Help determining if an equation is a function of x

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#graphing-functions #absolute-value #ceiling-and-floor-functions
132
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Prove $|x|-|y| \le |x+y|$

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#algebra-precalculus #inequality #proof-explanation #absolute-value
146
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Simple proof explanation - Possibly triangle inequality involved

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#matrices #inequality #summation #absolute-value #proof-explanation

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