AP Calculus Final

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Across
  1. 2. d/dx[f(x)g(x)]=f(x)g'(x) + g(x)f'(x)
  2. 5. d/dx(x+3y) = 1+3dy/dx
  3. 7. d/dx(f(x)/g(x))= (g(x)f'(x) - f(x)g'(x))/(g(x))^2
  4. 8. = v'(t)
  5. 11. One line between two points at the same y-value have a slope of zero
  6. 12. If y=f(g(x)) then y'=g'(x) x f'(g(x))
  7. 13. = s'(t)
  8. 14. example: y=(4x-3)^2 then y'=2(4x-3)(4)
  9. 15. Rule limx->c (f(x)/g(x))
Down
  1. 1. If n is a rational number, then the function F(x)=x^n is differentiable and d/dx(x^n-1)
  2. 3. If F(x) = x^3 - 4x +5 then f'(x)=3x^2-4
  3. 4. L(x)-f(a)=f'(a)(x-a) or L(x) + f'(a)(x-a)
  4. 6. (√5 +2)x(√5 -2)=1
  5. 9. The derivative of a constant function is zero
  6. 10. (f(a+h)-f(a))/(a+h)