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Existence of a critical point between two local minimum

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#real-analysis #derivatives #proof-verification #continuity
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$x_{1}$ and $x_{2}$ roots of $f$ with $f'(x_{1}) \gt 0$ and $f'(x_{2}) \gt 0$. Existence of another root between $(x_{1},x_{2})$.

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#real-analysis #derivatives #proof-verification #continuity
617
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Twice differentiable function not equal to $0$

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#calculus #real-analysis #derivatives
34
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How to determine the number of existing derivatives?

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#calculus #derivatives
77
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Maximum and minimum problems

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#derivatives
34
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Determining Complex Functions

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#complex-analysis #derivatives
51
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Using derivatives in Ordinary Differential Equations

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#calculus #ordinary-differential-equations #derivatives
632
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Finding stationary points without being able to solve for x?

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#calculus #derivatives
73
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differentiability - neighborhood

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#calculus #real-analysis #derivatives
51
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Why is this the wrong approach in solving this differentiation problem (of finding rate of decrease)?

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#calculus #derivatives
251
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Derivative of a trace w.r.t to matrix's elements

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#derivatives #matrix-calculus #trace
46
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Looking for example (infinitely many times differentiable)

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#real-analysis #multivariable-calculus #derivatives
28
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Partial derivates check $wx_{id}$ versus ($wx_{id}^2$ + $wx_{id}^3$)? (w.r.t w)

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#derivatives #partial-derivative
78
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differentiation $f$ and $g$

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#calculus #derivatives
5.7k
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What is the derivative of $(u^v)$?

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#calculus #derivatives

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