A function has a local maximum at a point where the first derivative is zero and the second derivative is:

The value of the definite integral ∫₀¹ 2x dx is:

The slope of the tangent to the curve y = x² at the point (2, 4) is:

The integral of 1/x with respect to x is:

The first two nonzero terms of e^x at x=0 are:

The geometric series 1 + r + r² + ... converges when:

The double integral over a rectangle gives: