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Differentiating functions of two variables

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#derivatives #partial-derivative #chain-rule
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Can related rates problems be thought of as a ratio that is equivalent to the instantaneous rate of change of the governing function?

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#calculus #derivatives
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Isosceles Triangle/Circle

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#derivatives #optimization #maxima-minima
170
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Lie Derivative along One Forms

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#derivatives #differential-geometry #vector-fields #lie-derivative
88
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Different method of evaluating ${d\over dx}(e^x)=e^x$

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#derivatives
45
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Differentiating with respect to the exponent of distribution

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#derivatives #probability-distributions #optimization #distribution-theory
157
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Application of the Inverse function theorem for $f:M_n(\mathbb{R})\rightarrow M_n(\mathbb{R})$, $f(A)=A^2$.

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#derivatives #differential #inverse-function #inverse-function-theorem
50
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How define a transformation? Real Analysis ($\mathbb{R}^{n}$)

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#real-analysis #derivatives
56
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Implicit function theorem usage

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#calculus #derivatives #implicit-function-theorem
97
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"$f^\prime (c) = \lim_{n \to \infty} f^\prime (x_n)$" does not imply the continuity.

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#real-analysis #derivatives
39
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Accumulations points and injectivity of $f'$

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#real-analysis #derivatives
479
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Show that $ f^2 − g^2 = C $ for some real constant C

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#calculus #functions #derivatives
57
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Prove that the following function $f(X)=XX^{t}$ is differentiable

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#analysis #multivariable-calculus #derivatives #matrix-calculus
1.4k
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How to integrate when zero is in denominator?

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#integration #ordinary-differential-equations #derivatives #systems-of-equations #problem-solving
472
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Does the curve $(t^2, t^5)$ have a tangent at the origin?

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#multivariable-calculus #derivatives #tangent-line

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