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Find the differential equation of $y=e^{-x}+ax+b$

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#calculus #ordinary-differential-equations #derivatives
561
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Lipschitz constant for $f(x) = 1/(1+x^2)$ from the definition of Lipschitz

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#derivatives #lipschitz-functions
130
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Find minimum value of $(x-a_1)^2+(x-a_2)^2+...+(x-a_n)^2$

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#calculus #functions #derivatives #optimization
37
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How do I find the "unwinding" rate of a polar equation of two variables?

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#derivatives #polar-coordinates
1.9k
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What can we say about the function if its derivative is Strictly increasing.

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#calculus #derivatives
99
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Prove Differentiability of $(\ln(1+|x|))^2$

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#real-analysis #derivatives #logarithms #absolute-value
75
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Maximize this parametric function

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#calculus #derivatives
86
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Deriving and defining $e^x$, $\log_b(x)$, $\ln(x)$, and their derivatives?

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#calculus #limits #derivatives #logarithms #euler-mascheroni-constant
905
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Prove inequality using the Mean Value Theorem

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#calculus #derivatives #inequality
253
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Find limit of $\lim_{x\to 0}\frac{\sin^{200}(x)}{x^{199}\sin(4x)}$, if it exists

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#calculus #real-analysis #limits #trigonometry #derivatives
68
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Finding tangents lines passing through a point

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#calculus #derivatives #tangent-line
61
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The differentiability of the function of two variables

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#calculus #real-analysis #derivatives
22
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Bound on derivative of $e^{\frac{-\delta^2}{\delta^2-\left( \delta-x \right)^2}+1}$

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#functions #derivatives
60
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Looking for a function...

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#calculus #limits #derivatives
92
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Gradient of a matrix equation (From the proof of the Kalman Filter)

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#derivatives #matrix-equations #kalman-filter

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