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Why is this function only differentiable at zero?

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#calculus #limits #derivatives
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How to take second derivative implicitly

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#calculus #derivatives #implicit-differentiation
116
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Given $f(x) = \arcsin\left(\frac{2x}{1+x^2}\right)$, find $f'(1)$.

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#derivatives #trigonometry
130
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$f(x) = \tan^{-1}(x)$ || Is there any easy method to show that the sequence [$f^n(0)$] is unbounded?

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#real-analysis #sequences-and-series #derivatives
336
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Does value of differentiation as infinity implies continuity?

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#real-analysis #derivatives #continuity
63
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If $x\mapsto F(x)=\int^{x}_{a}f(s)ds$, then $F$ is $C^1$ and $F'(x)=f(x),\;\;\forall\;x\in[a,b]$

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#calculus #integration #ordinary-differential-equations #multivariable-calculus #derivatives
96
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Find points of discontinuity of $x(x-1)^{2/3}e^{\sqrt[3]{x}}$

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#calculus #derivatives
2.3k
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First Derivative Test on Parametric Equations

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#derivatives #parametric #maxima-minima
64
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If $f:\Bbb{R}^{+}\to\Bbb{R}^n,\;t\mapsto f(t)=\Vert x(t)\Vert^2,$ then $f$ is differentiable

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#calculus #ordinary-differential-equations #multivariable-calculus #derivatives
122
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Boundedness for continuous Lipschitz gradient of multivariate functions?

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#derivatives #inequality #optimization #continuity
85
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Is a Lipschitz continuous gradient function is a Lipschitz function as well?

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#real-analysis #derivatives #optimization #continuity #uniform-continuity
50
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Given the function $f$, evaluate $f'$

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#calculus #derivatives #logarithms
388
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Motivation on Using Fourier Series to Solve Heat Equation

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#derivatives #partial-differential-equations #fourier-series #heat-equation
483
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$n^{th}$ derivative of $\sqrt{ax+b}$?

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#derivatives
65
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The convenient approach to a calculus problem in two variables

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#multivariable-calculus #derivatives #education

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