Perplex
Content
  • Exponents & Logarithms
  • Approximations & Error
  • Sequences & Series
  • Financial Mathematics
  • Cartesian plane & lines
  • Function Theory
  • Modelling
  • 2D & 3D Geometry
  • Voronoi Diagrams
  • Probability
  • Descriptive Statistics
  • Bivariate Statistics
  • Distributions & Random Variables
  • Inference & Hypotheses
  • Differentiation
  • Integration
Other
  • Review Videos
  • Blog
  • Landing Page
  • Sign Up
  • Login
  • Perplex
    IB Math AISL
    /
    Differentiation
    /

    Problems

    Edit

    Problem Bank - Differentiation

    Access custom-built, exam-style problems for differentiation. Each problem has a full solution and mark-scheme, as well as AI grading and support.

    Select a Difficulty:

    3 / 34 problems visible - Upgrade to view all problems

    IB: 4
    1

    !

    0 / 6

    1. Find ∫6−6x.

      [2]

    A quadratic function f has f′(x)=6−6x and a maximum value of 5.

    1. Find f(x).

      [4]
    2

    !

    0 / 5

    The curves y=x4−12x+k and y=20x−2k are tangent.

    Find the possible value(s) of k.

    [5]
    3

    !

    0 / 6

    The function f is defined by f(x)=4x3−6x2−24x−5.

    1. Find f′(x).

      [2]
    2. Find the coordinates of the point(s) on the curve y=f(x) where the tangent is horizontal.

      [4]

    Ask Plex AI about problem 1

    Get hints, ask questions, and work through this problem step by step