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Vector functions and differentiation

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#calculus #derivatives #vectors #proof-explanation
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find partial derivative of the function

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#derivatives #maximum-likelihood #log-likelihood
74
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Why can't I use the formula for $f(x)=x^x$ to derive $(\frac{x}{x+1})^x$?

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#derivatives
44
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proving that a certain zero set is a differentiable submanifold in $\mathbb{R}^3$

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#derivatives #manifolds #differential-topology
289
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If $|f'(x)| \leq c|f(x)|$ for all $x \in (0,1)$ then $f(x)=0$

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#real-analysis #calculus #derivatives #proof-verification #continuity
71
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How to prove this property using convexity?

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#real-analysis #derivatives #convexity-inequality
25
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Need Help with Differentiation

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#derivatives
66
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How to deduce the last inequality ;(

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#real-analysis #derivatives
51
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Is it ok to reduce this equation?

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#integration #ordinary-differential-equations #derivatives
856
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Can $f'(c)$ exist if $f'(x)$ is not continuous at c

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#real-analysis #calculus #derivatives #continuity
57
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Differentiation of a vector

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#matrices #derivatives
27
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Why $v_a\mapsto D_{v}|_a$ (the directional derivative) is a linear map $\mathbb R^n_a\to T_a\mathbb R^n$?

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#derivatives #manifolds
1.2k
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A function that is differentiable at exactly two points

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#calculus #derivatives
167
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Identities relating curvature of gradient integral curves with their perpendicular velocity differential

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#multivariable-calculus #derivatives #differential-geometry #vector-analysis #curvature
2.8k
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Let $y=(f(u)+3x)^2$ and $u=x^3-2x$. If $f(4)=6$ and $\frac{dy}{dx}=18$ when $x=2$, find $f'(4)$

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#derivatives

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