mscroggs.co.uk
mscroggs.co.uk

subscribe

Puzzles

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) \(y=\sin(x)\)?

Show answer & extension

If you enjoyed this puzzle, check out Sunday Afternoon Maths XXIX,
puzzles about calculus, or a random puzzle.

Archive

Show me a random puzzle
 Most recent collections 

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022

Advent calendar 2021


List of all puzzles

Tags

algebra even numbers dates numbers functions floors polygons binary crossnumbers digital products sums determinants square roots taxicab geometry colouring parabolas games the only crossnumber coordinates cube numbers palindromes median surds combinatorics doubling square numbers perfect numbers calculus quadrilaterals christmas crossnumber pentagons logic books expansions tiling rectangles crosswords complex numbers bases balancing area remainders squares circles division advent chess perimeter albgebra digits regular shapes routes matrices means proportion geometric means consecutive integers angles spheres decahedra cubics digital clocks coins products rugby probability fractions pascal's triangle multiples dominos shape odd numbers medians dice integers indices geometric mean addition mean quadratics range differentiation square grids star numbers graphs shapes cryptic crossnumbers number 2d shapes axes dodecagons integration sport clocks factors hexagons arrows partitions cryptic clues sum to infinity trigonometry money wordplay chocolate triangle numbers prime numbers ellipses geometry grids menace factorials 3d shapes consecutive numbers volume numbers grids averages percentages powers probabilty planes symmetry triangles multiplication folding tube maps tournaments polynomials speed neighbours irreducible numbers ave sets time unit fractions people maths elections chalkdust crossnumber lines gerrymandering cards tangents scales sequences

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2025