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 2025

Advent calendar 2024

Advent calendar 2023

Advent calendar 2022


List of all puzzles

Tags

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

Archive

Show me a random puzzle
▼ show ▼
© Matthew Scroggs 2012–2026