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How to find Tangent exist for piecewise functions

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#calculus #derivatives #tangent-line
481
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Derivatives in positive and negative x directions

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#calculus #limits #derivatives #nonstandard-analysis
33
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Tangent and Normal

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#derivatives
117
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Finding $ \lim_{x\rightarrow 0}\frac{(1+x)^{\frac{1}{x}}-e+\frac{ex}{2}}{x^2}$ without using series expansion.

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#real-analysis #limits #derivatives #exponential-function
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What is $n$-th derivative of $\cos(x)$?

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#calculus #trigonometry #derivatives
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How to find a derivative using the quotient rule with a square root in the denominator?

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#derivatives
61
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Discretizing the PID equation

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#integration #ordinary-differential-equations #derivatives
68
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Simple differential equations (confusion over the "rate" of change)

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#calculus #ordinary-differential-equations #derivatives #unit-of-measure
242
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Find the minimum magnitude of force P.

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#calculus #derivatives #classical-mechanics
52
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Finding if a piecewise function is differentiable

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#derivatives
711
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why index notation of summation changes during derivative in chain rule?

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#derivatives #summation #partial-derivative #chain-rule
115
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How do I express the second derivative of this function

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#calculus #derivatives #chain-rule
264
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Doubt in The inverse function theorem of Rudin's Principles of mathematical Analysis (Theorem 9.24)

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#multivariable-calculus #derivatives #proof-explanation
59
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Find the derivative of a function that contains a sum

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#derivatives #convergence-divergence #summation #power-series
356
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Prove that a function is injective knowing the second derivative is positive

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#calculus #functions #derivatives

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