Froggy Jumps Unit 3.4 : Higher Order DerivativesVersion en ligne The question is to enhance your understanding of the topics higher order derivatives. It is advisable for you to make a note/remarks in the process of determine the higher derivatives expressions. par lyssa daud 1 y = 3x⁶ a dy/dx = 9x⁵ b dy/dx = 18x⁵ c dy/dx = 18x⁴ 2 dy/dx = 18x⁵ a d²y/dx² = 90x⁴ b d²y/dx² = 90x⁵ c d²y/dx² = 40x⁴ 3 d²y/dx² = 90x⁴ a d³y/dx³ = 360x⁵ b d³y/dx³ = 360x⁴ c d³y/dx³ = 360x³ 4 f(x) = 4x⁵ + 3x³ a f'(x) = 20x⁴ + 9x² b f'(x) = 20x⁴ + 9x³ c f'(x) = 20x⁵ + 9x² 5 f'(x) = 20x⁴ + 9x² a f''(x) = 80x⁴ + 18x b f''(x) = 80x³ + 18x² c f''(x) = 80x³ + 18x 6 f''(x) = 80x³ + 18x a f'''(x) = 240x² + 18x b f'''(x) = 240x² + 18 c f''(x) = 240x² + 18 7 f'(x) = 5x³ - 7x² + 10 a f''(x) = 15x² - 14x b f''(x) = 15x³ + 14x c f''(x) = 15x² - 14 8 f''(x) = 15x² - 14x a f''(x) = 30x - 14 b f'''(x) = 30x² + 14 c f'''(x) = 30x - 14
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