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Partial of Modulo operator ? (with non-integers)

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#derivatives #modular-arithmetic #partial-derivative
144
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Prove that $f(x)=\sin^2 x-x^2\cos x, \forall x\in [0,\frac{\pi}{2}]$ is monotonic increasing

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#calculus #derivatives #monotone-functions
150
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Why do we have $ \ln(z) = \frac{z-1}{e -1} \prod_{n = 1}^{\infty} \frac{ \exp(2^{-n}) +1} {z^{2^{-n}} + 1} $

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#calculus #derivatives #logarithms #roots #infinite-product
62
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Given an implicitly defined equation, verify another equation

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#ordinary-differential-equations #analysis #derivatives #implicit-differentiation
146
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Is there a way to avoid chain rules in finding this derivative of an integral?

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#derivatives #convolution #chain-rule #jacobian
475
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How does one take derivative of data points

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#calculus #discrete-mathematics #derivatives #numerical-methods
1.1k
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Apparently smooth function, discontinuous derivative

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#calculus #real-analysis #derivatives #continuity
216
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Derivatives of Infinite Product that Diverges to 0

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#derivatives #infinite-product
41
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Find the derivative of $G(x) = \tan^{-1}(x^2 + 1)$

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#derivatives
307
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A strange condition for a function of two variables

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#calculus #real-analysis #limits #derivatives #continuity
255
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Derivative of a diagonal matrix raised to an arbitrary power

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#matrices #derivatives
110
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Derivative of complex function.

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#complex-analysis #derivatives
59
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Question based on complex differentiation?

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#complex-analysis #functions #derivatives #complex-numbers #partial-derivative
189
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Leibniz integral rule and Fundamental theorem of calculus

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#integration #derivatives #lebesgue-integral
39
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Is $\partial (\liminf_{n}\sum_{t=1}^{n}a_{t})/\partial a_{t} = 1$ for every $t \in \mathbb{N}$?

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#sequences-and-series #derivatives #applications

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