Answer:
d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)
Step-by-step explanation:
d²y/dx² = (-2y² − x²) / (4y³)
Take the derivative (use quotient rule and chain rule):
d³y/dx³ = [ (4y³) (-4y dy/dx − 2x) − (-2y² − x²) (12y² dy/dx) ] / (4y³)²
d³y/dx³ = [ (-16y⁴ dy/dx − 8xy³ − (-24y⁴ dy/dx − 12x²y² dy/dx) ] / (16y⁶)
d³y/dx³ = (-16y⁴ dy/dx − 8xy³ + 24y⁴ dy/dx + 12x²y² dy/dx) / (16y⁶)
d³y/dx³ = ((8y⁴ + 12x²y²) dy/dx − 8xy³) / (16y⁶)
d³y/dx³ = ((2y² + 3x²) dy/dx − 2xy) / (4y⁴)
Substitute:
d³y/dx³ = ((2y² + 3x²) (-x / (2y)) − 2xy) / (4y⁴)
d³y/dx³ = ((2y² + 3x²) (-x) − 4xy²) / (8y⁵)
d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)
Answer:
1 out of 12
Step-by-step explanation:
12-11=1
Answer:
12.5%
Step-by-step explanation:
Step1. Determine the points Matthew had during playoff by subtracting points made during regular season from total points in season.
168 points this season
- <u>147 points regular season </u>
21 points scored in playoff
Step 2. Get the percentage, by dividing playoff points over total points in season
21 ÷ 168 = 0.125
Step 3. Multiply it by 100 to get the percentage equivalent from decimal.
0.125 x 100% = 12.5%
Answer:
All work but I’d pick the 3rd one
Step-by-step explanation:
Answer:
15ft
Step-by-step explanation:
you have to add 11 and 4 to get 15
