Across
- 2. If h(x)<f(x)<g(x) and if limit, as x->c, of h(x)= limit, as x->c, of g(x), then limit, as x->c, of f(x) must = limit, as x->c, of h(x) (and limit, as x-c of g(x) by transitive laws).
- 5. f(g(x))=x. 1/f'(g(x))=g'(x). g(x) is the ______ of f(x).
- 6. d/dx [f(x)/g(x)] = [g(x)•f'(x) - f(x)•g'(x)]/[g(x)]^2. ________ rule
- 10. ∫f(x)dx can be approximated with lim n->∞ Σf(cᵢ + kΔx/n)(b-a)/n. i=1. ______ riemann sum
- 12. lim, as x->c, f(x)/g(x) = lim, as x->c, f'(x)/g'(x) only if lim, as x->c, of f(x) and g(x), separately, are both 0 or infinity.
- 13. [ax + b] -> [ax - b]. This process is called finding the…
Down
- 1. π• ∫R^2 - r^2 dx from [a,b] **Where R= f(x) - axis of rotation and r= g(x) - axis of rotation and f(x)>g(x) on [a,b]. ______ method
- 3. lim n->∞ Σf(xcᵢ)(b-a)/n. i=1.
- 4. ∫f(x)dx can be approximated with lim n->∞ Σf(cᵢ + (i-1)Δx/n)(b-a)/n. i=1. _____ riemann sum
- 7. d/dx [f(g(x))] = f'(g(x)) • g'(x) _____ rule.
- 8. ∫f(x)dx can be approximated by lim n->∞ Δx/2 Σf(xᵢ₋₁) + f(xᵢ). i=1.
- 9. d/dx [ f(x)•g(x)] = f'(x)•g(x) + g'(x)•f(x). ______ rule
- 11. π• ∫[f(x)]^2 dx from [a,b], where f(x) is a radius, r.