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
Step 1 :
Equation at the end of step 1 :
15
((——•(m6))•(0-2m2))•4
10
Step 2 :
3
Simplify —
2
Equation at the end of step 2 :
3
((— • m6) • -2m2) • 4
2
Step 3 :
Equation at the end of step 3 :
3m6
(——— • -2m2) • 4
2
Step 4 :
Multiplying exponential expressions :
4.1 m6 multiplied by m2 = m(6 + 2) = m8
Canceling Out :
4.2 Canceling out 2 as it appears on both sides of the fraction line
Equation at the end of step 4 :
-3m8 • 4
Step 5 :
Final result :
-12m8
A. nine hundredths
B. Thirty five hundredths
C. Seven Tenths
D. Three Thousandths
E. One Hundred Fourty five Thousandths
F. Fifty Nine Ten Thousandths
