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Differentiation of inverse trigonometric functions

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#calculus #derivatives #trigonometry
159
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Partial derivative of a function defined in a rectangular area

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#calculus #multivariable-calculus #derivatives
327
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Tangent line, normal line - confusing.

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#real-analysis #calculus #linear-algebra #derivatives #tangent-line
2.4k
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Why the derivative is the rate of change of the function?

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#real-analysis #derivatives
47
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Is this problem right?

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#limits #derivatives
328
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For a function defined by parts study continuity, and differentiability at two points

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#calculus #derivatives #continuity
145
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Differentiating with respect to a product of two variables

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#derivatives
144
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Prove $\Phi$ is a diffeomorphism

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#real-analysis #derivatives #diffeomorphism
756
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First and second differentiability of the piecewise function $x^4\sin(\frac{1}{x})$ if $x \neq 0$ and $0$ if $x=0$

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#real-analysis #calculus #limits #derivatives #piecewise-continuity
34
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Directional derivative - need some help with $D_{X_u}X_v$

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#derivatives #differential-geometry
293
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Functional Equation Solved Using Differentiation

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#calculus #ordinary-differential-equations #derivatives #functional-equations
1.4k
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Can a function be smooth at a single point?

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#real-analysis #derivatives #smooth-functions
121
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Does a bounded function $f$ on $\mathbb R$ has zero for its second derivative?

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#derivatives #proof-verification
324
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Increasing and Decreasing functions using interval notation

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#calculus #functions #derivatives
92
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Need help understanding differential of function

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#derivatives #differential-geometry #manifolds #differential #tangent-spaces

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