Answer:
dy/dx = 18x – 6
Step-by-step explanation:
y = (3x – 1)²
Take derivative using power rule and chain rule:
dy/dx = 2 (3x – 1) × 3
dy/dx = 6 (3x – 1)
dy/dx = 18x – 6
You can check this answer by simplifying y before taking the derivative.
y = 9x² – 6x + 1
dy/dx = 18x – 6
Answer:
70
Step-by-step explanation:
Answer:
$625
Step-by-step explanation:
If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:
2(-$14000 + $6500) + 2(12x) = 0.
x is the minimum amount of money he needs to save in order to cover this expense without debt.
Thus 2(-$14000 + $6500) + 2(12x) = 0 →
2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →
24x = $15000 → x = $625
Answer:
8
Step-by-step explanation:
