Derivatives & Anti-Derivatives

x⁷ + 4x⁴ - 6x³ - 7x¹ + 8

7x⁶ + 16x³ - 18x² - 7

9x⁵ + x⁴ - 4x² + x

45x⁴ + 4x⁴ - 8x¹ + 1

3/4x⁸ - 7/10x⁶ - 1/3x⁵ + 5/6x⁴ - 3/8x³ + x²

24/4x⁷ - 42/10x⁵ - 5/3x⁴ + 20/6x³ - 9/8x² + 2x

6x⁷ - 21/5x⁵ - 5/3x⁴ + 10/3x³ - 9/8x² + 2x

€30x⁴ - 4x³ + 18ײ - 10x + 5

30x⁵ - 4x⁴ + 18x³ - 10x² + 5x²

-5 ——-4 ——3 ——2

6×5 - x4 + 6×3 - 5×2 + 5x

€14×6 - 20×4 + 9×2 - 1

14×7 - 20×5 + 9×3 - x

—7——-5———3

2×7 - 4×5 - 3×3 - x

€6×8 + 7×6 - 2×4 + 8×3 - 7×2 - 10x + 5

6×9 + 7×7 - 2×5 + 8×4 - 7×3 - 10×2 + 5x

-9——-7——-5——4——3——-2

2×9 + 1×7 - 2×5 + 2×4 - 7×3 - 5×2 + 5x

-3—————5—————3

Vested

Amount of time worked for retirement benefits

Term

Cheaper, receive nothing if you outlive it.

Whole

More expensive, still alive, still receive something.