1. f(x) = x^3 + 3x^2 + 9x + 5 —> f'(x) = 3x^2 + 6x + 9
f'(2) = 3 * 2^2 + 6 * 2 + 9
= 12 + 12 + 9
= 33
2. f(x) = 2x^3 - 6x^2 + 12x - 8 —> f'(x) = 6x^2 + 12x + 12
f'(-1) = 6 * -1^2 + 12 * -1 + 12
= -6 - 12 + 12
= -6
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Verified answer
1. f(x) = x^3 + 3x^2 + 9x + 5 —> f'(x) = 3x^2 + 6x + 9
f'(2) = 3 * 2^2 + 6 * 2 + 9
= 12 + 12 + 9
= 33
2. f(x) = 2x^3 - 6x^2 + 12x - 8 —> f'(x) = 6x^2 + 12x + 12
f'(-1) = 6 * -1^2 + 12 * -1 + 12
= -6 - 12 + 12
= -6