3.5: Higher Derivatives

Higher derivatives are awesome! They're so simple! Although, I would probably think they were difficult if I didn't know how to derivatives at all..

Problem:

1. Find f(4)(x) of: x^9-5x^5-cos(x^3)+7x

f'(x): 9x^8 - 25x^4 + sin(x^3)(3x^2) + 7
f''(x): 72x^7 - 100x^3 + cos(x^3)(6x) + 0
f'''(x): 504x^6 - 300x^2 - sin(x^3)(6) + 0
f(4)(x): 3,024x^5 - 600x - cos(x^3)(0) + 0