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Julli [10]
3 years ago
9

5. (8 pts) Compute the derivative of h(x) = x^3+x^2/e^3x and simplify your answer.

Mathematics
1 answer:
Svetach [21]3 years ago
3 0

Answer:

  h'(x) = (-3x^3 +2x)/e^(3x)

Step-by-step explanation:

The formula for the derivative of a quotient is ...

  (u/v)' = (vu' -uv')/v²

Using u = (x^3 +x^2) and v = e^(3x), this becomes ...

  h'(x) = (e^(3x)(3x^2 +2x) -(x^3 +x^2)(3)(e^(3x))/e^(6x)

  h'(x) = (-3x^3 +2x)/e^(3x)

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Circles M and K are congruent, arc QR is congruent to arc LN and arc OP is congruent to arc VW. Find x.
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8 0
4 years ago
Suppose f(x)=2×+5 find the value of -2f(x+1)
loris [4]
F(x) = 2x + 5 

-----------------------------------
Find f(x + 1) :
-----------------------------------
f(x +1) = 2(x + 1) + 5
f(x +1) = 2x + 2 + 5
f(x + 1) = 2x + 5

-----------------------------------
Find -2f(x+1):
-----------------------------------
-2(fx+1) = -2(2x + 5)
-2(fx+1) = -4x - 10

----------------------------------------------------------------------
Answer: -2(fx+1) = -4x - 10
----------------------------------------------------------------------
3 0
3 years ago
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