Calculus

Derivatives, tangents, integrals, extreme values, limits and series of polynomials, worked by hand.

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How it works

Every answer is exact: a whole number or a fraction, typed as a/b or as a decimal to 3 significant figures. Before a question is shown, its answer is checked by a different method: the slope from the definition of the derivative, Simpson’s rule, a search over a fine grid, the function evaluated next to the limit, or partial sums of the series. SIG and Five Rings online tests are reported to include calculus.

A sample question

What is the smallest value of $f (x) = 2 x^{2} - 10 x - 6$ on $0 \leq x \leq 6$ ?