Answer:
(x + 1)(x + 3)eˣ
Step-by-step explanation:
Since f(x) = (x + 1)²eˣ
df(x)/dx = d[(x + 1)²eˣ]/dx
By the product rule, duv/dx = udv/dx + vdu/dx
where u = (x + 1)² and v = eˣ
So, df(x)/dx = d[(x + 1)²eˣ]/dx
= (x + 1)²deˣ/dx + eˣd(x + 1)²/dx
= (x + 1)²eˣ + eˣd(x + 1)²/d(x + 1) × d(x + 1)/dx (by the chain-rule dy/dx = dy/du × du/dx)
= (x + 1)²eˣ + eˣ[2(x + 1) × 1]
= (x + 1)²eˣ + 2eˣ(x + 1)
= (x + 1)eˣ(x + 1 + 2)
= (x + 1)eˣ(x + 3)
= (x + 1)(x + 3)eˣ
<h3>
Answer: -14 degrees Fahrenheit</h3>
Explanation:
Draw a vertical number line. At the center is 0. Anything above this marker represents positive temperatures. Anything below 0 is negative. So we'll have -8 below 0. Move 6 spaces down to go from -8 to -14. You can think of it as moving 6 floors down a building to go from basement level 8 to basement level 14.
The equation is already solved for you basically
Answer:
He sold 240 rolls.
Step-by-step explanation:
To find the amount of rolls he sold, we can multiply the amount of rolls in each box by the amount of boxes sold. If there are 6 rolls in each box, and he sold 40 boxes, then we would multiply 6 by 40.
6*40=240.
He sold 240 rolls.
Hope this helps!
Answer: 8π mm (in terms of π)
Step-by-step explanation:
1) The formulas for solving the circumference of a circle is πd (π times diameter).
2) 8 times π equals 8π mm.
Hopes this helps!
