Sunday Afternoon Maths XXIX
Posted on 2014-09-21
Double derivative
What is
$$\frac{d}{dy}\left(\frac{dy}{dx}\right)$$
when:
(i) \(y=x\)
(ii) \(y=x^2\)
(iii) \(y=x^3\)
(iv) \(y=x^n\)
(v) \(y=e^x\)
(vi) \(y=\sin(x)\)?
Equal opportunity
Source: Futility Closet
Can two (six-sided) dice be weighted so that the probability of each of the numbers 2, 3, ..., 12 is the same?
Three squares
Source: Numberphile
The diagram shows three squares with diagonals drawn on and three angles labelled.
What is the value of \(\alpha+\beta+\gamma\)?
If you enjoyed these puzzles, check out Advent calendar 2023,
puzzles about division, or a random puzzle.
puzzles about division, or a random puzzle.