Let f be a function which is differentiable for all real x. If f(2) = -4 and f'(x) ≥ 6 for all x ∈ [2, 4], then:

What is the slope of the tangent to the curve xy2 - yx3 = 2 at the point (1, -1)?

Which of the following rules for finding the total differential of a function is INCORRECTLY matched?

If x√(1 + y) + y√(1 + x) = 0 and x ≠ y, then dydx is equal to: