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The derivative of $x^\frac{1}{3}$

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#calculus #real-analysis #analysis #derivatives #epsilon-delta
55
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I’ve been trying to solve this derivative problem

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#calculus #derivatives
1.3k
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Finding the curvature of a parametric equation

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#calculus #derivatives #vectors #parametric
195
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Existence and uniqueness of solutions if Lipschitz constant depends on time

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#ordinary-differential-equations #derivatives #lipschitz-functions
94
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how to find a, b that satisfy $\displaystyle \lim_{x \to 0} \frac{e^{-2x} -\frac{1+ax}{1+bx}}{x^2}=0$

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#calculus #real-analysis #limits #derivatives #exponential-function
173
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Clarification of Notion of a "Good Approximation"

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#calculus #real-analysis #limits #derivatives #linear-approximation
1.5k
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How far from its equilibrium position does the mass travel?

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#calculus #derivatives
63
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How to find $f'(0)$

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#calculus #functions #derivatives
5.9k
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Approximation of $\log(x)$ for very small $x$

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#derivatives #logarithms #approximation
66
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Proving that $\frac{D(a,b,c)}{D(x,y,z)}=1$

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#multivariable-calculus #derivatives #vector-spaces #fluid-dynamics
1.5k
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If $f(x)$ is a twice differentiable function and given that $f(1) = 2, f(2) = 5$ and $f(3) = 10$ then

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#calculus #functions #derivatives
346
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Backpropagation with two hidden layers - matrix dimension doesn't add up

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#calculus #linear-algebra #derivatives #neural-networks
625
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Partial derivative of cross-entropy

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#derivatives #partial-derivative #entropy #neural-networks
360
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Derivative of polynomial roots with respect to a parameter

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#derivatives #polynomials #parametric #implicit-differentiation
769
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Prove $\frac{d}{dx}(e^x)=e^x$ with Taylor series and power rule

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#calculus #derivatives #taylor-expansion

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