How to use it

Type a function of x, then pick one of the three buttons.

The three buttons

• d/dx — gives the derivative as a formula (with the algebra simplified).
• slope at x₀ — the exact steepness of the curve at the x-value you put in the x₀ box.
• ∫ₐᵇ f dx — the area under the curve between the two bounds a and b.

Things to type

• x^3 * sin(x)
• e^x * cos(x)
• 1/x with bounds 1 and 2.718
• sqrt(1 - x^2) with bounds -1 and 1 (gives π/2)

What it can do

Exact symbolic derivatives · the slope at any point · accurate definite (numeric) integrals over a range.

What it can't do

No indefinite integrals (it won't hand you "+ C"). The integral needs real number bounds, not ∞. If the function blows up inside the range, the area may not be meaningful. The variable must be x.