Using the CG50 or TI-Nspire for calculus (IB Math AI SL)
Updated October 2026
Quick answer: In SL AI the GDC does the calculus that would be slow by hand: the gradient at a point (numerical derivative), the value of a definite integral, and the maximum or minimum of a graph. Write down the expression you entered and the result to 3 significant figures.
SL AI is a calculator-friendly course — use your GDC's numerical derivative and definite integral solvers. Know the keystroke sequence for both models cold.
Practise Using the CG50 or TI-Nspire for calculus with AI marking
Open the full SL AI engine — every question in this unit is worked through with instant AI-graded feedback on your handwritten workings.
Gradient at a point: use the numerical derivative (d/dx) function with the function and the x-value. This is the gradient of the tangent there.
Definite integral: enter the function and the two limits. Use it for areas, distances and totals from a rate; for an area below the x-axis the integral is negative.
Maximum or minimum: graph the function and use the maximum or minimum tool, which also gives the x-value.
Set the window so the feature you need is visible; a missing turning point is often just off the screen.
Show the set-up in your written answer, such as ∫₀⁴ x e−0.5x dx, so the method mark can be awarded even if a key slips.
Worked example
Let f(x) = x e−0.5x. Using your GDC, find f′(3), the value of ∫₀⁴ f(x) dx, and the coordinates of the maximum point of the graph of f.
Numerical derivative at x = 3: f′(3) ≈ −0.112 (the graph is decreasing there).
Definite integral from 0 to 4: ∫₀⁴ x e−0.5x dx ≈ 2.38. (The exact value is 4 − 12e⁻², which also gives 2.38.)
Graph f and use the maximum tool: x = 2, y ≈ 0.736 (exactly 2/e).
Check: f′(3) is negative, which fits a maximum at x = 2, to the left of x = 3.
Answer: f′(3) ≈ −0.112; ∫₀⁴ f(x) dx ≈ 2.38; maximum at (2, 0.736).
Can I use my calculator for derivatives and integrals in IB Maths AI SL?
Yes. Both AI SL papers allow a graphic display calculator, and you are expected to use it for gradients at a point, definite integrals and maximum or minimum points. Some questions ask for the derivative as an expression, which you find by hand.
Can I use my calculator for using the CG50 or TI-Nspire for calculus?
Yes: a GDC is allowed on every SL AI paper, so practise the calculator method as well as the working. The Numerical derivative and integral guide gives the keystrokes for the TI-84 Plus CE, TI-Nspire CX II and Casio fx-CG50.