Answer: f'(x) = 12x + 48x³ - 48x⁵
<u>Step-by-step explanation:</u>
f(x) = (1 - 2x²)³
= (1 - 2x²)(1 - 4x² + 4x⁴)
1 - 4x² + 4x⁴
<u> -2x² + 8x⁴ - 8x⁶</u>
= 1 - 6x² + 12x⁴ - 8x⁶
f'(x) = 0 -2(6)x²⁻¹ + 4(12)x⁴⁻¹ - 6(8)x⁶⁻¹
= 12x + 48x³ - 48x⁵
Answer:
, 
Step-by-step explanation:
<h3>
I will use the elimination method.</h3>
We want to make the X's the same:
Because the signs of the X's are the same we subtract the 2 equations to make:
(I put the second one on top of the 1st)
So:
Substitute y into either equation 1 or 2:
(I chose equation 1)
So:
Answer:
p = ½ (x₁ + x₂)
q = a (x₁x₂ − ¼ (x₁ + x₂)²)
Step-by-step explanation:
y = a (x − x₁) (x − x₂)
Expand:
y = a (x² − x₁x − x₂x + x₁x₂)
y = a (x² − (x₁ + x₂)x + x₁x₂)
Distribute a to the first two terms:
y = a (x² − (x₁ + x₂)x) + ax₁x₂
Complete the square:
y = a (x² − (x₁ + x₂)x + ¼(x₁ + x₂)²) + ax₁x₂ − ¼ a(x₁ + x₂)²
y = a (x − ½ (x₁ + x₂))² + a (x₁x₂ − ¼ (x₁ + x₂)²)
Therefore:
p = ½ (x₁ + x₂)
q = a (x₁x₂ − ¼ (x₁ + x₂)²)
Answer:
x = -8/29 = -0.276
Step-by-step explanation:
Step 1 :
Solving a Single Variable Equation :
1.1 Solve : 29x+8 = 0
Subtract 8 from both sides of the equation :
29x = -8
Divide both sides of the equation by 29:
x = -8/29 = -0.276
One solution was found :
x = -8/29 = -0.276
Processing ends successfully
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