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If derivatives of a function exist, is the function continuous?

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#derivatives #continuity
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Can a critical point be a local maximum /local minimum?

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#derivatives #graphing-functions
45
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how to deduct the formula that gives the derivative of $f(x) = x^2$?

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#integration #derivatives
412
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Differentiability of a parametric function

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#calculus #real-analysis #derivatives #parametric
113
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Derivative of trace of $A^\top A$

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#matrices #derivatives #matrix-calculus #trace #scalar-fields
202
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Why is cancelling differentials not okay?

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#derivatives
56
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Functions and their properties

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#functions #derivatives
854
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Inverse Function Theorem and Hessians Matrices

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#real-analysis #derivatives #inverse-function-theorem
893
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Rate of change volume of a cone

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#calculus #derivatives
314
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Derivatives Involving Parentheses and Trig Functions

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#derivatives #chain-rule #transcendental-equations
2.4k
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How to find the critical points $f(x)=\int_0^x(t-1)(t-3)\,\mathrm dt$

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#integration #derivatives
60
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Statements on calculus and linear algebra

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#calculus #linear-algebra #derivatives #vector-spaces
103
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Hidden technicalities in the definition of a derivative

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#calculus #real-analysis #derivatives #definition
99
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Are there any special properties in regards to concavity for a point where second derivative of a function = 0, but does not change sign?

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#derivatives
48
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What is a bound for $ \lVert dF_{\alpha} \rVert $ for a Lipschitz continuous function?

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#derivatives #lipschitz-functions

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