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
It would just be 80. They are both in the bottom right and I'm guessing this is one the problems that look like this:
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So just think about it. If the line is a straight line through two parallel lines then the angles of the two intersections should be the same. Basically because they are both on the bottom right they will be the same. Glad to help!
Answer:
range = 9-1 or 8
Step-by-step explanation:
That's easy
alrighty
we can see that each of those curves from K to N and from N to L are just 1/4 of the circumference of the circle
the circles have centers at J and M
so
we have 2 of those 1/4 circumfernce so a total of 2/4 or 1/2 circumference
circumference=2 times pi times radius
radius=JK=JN=NM=ML=7
we want half so
perimiter=1/2 times 2 times pi times 7
we are given pi=22/7 so
perimiter=1/2 times 2 times 22/7 times 7
perimiter=2/2 times 22
permiter=22cm
the perimiter is 22
wait, I forgot abou the bottom part (KL)
that's just twice the radius or 2*7=14
22+14=36
the perimiter is 36cm
