Problem 1
We'll use the product rule to say
h(x) = f(x)*g(x)
h ' (x) = f ' (x)*g(x) + f(x)*g ' (x)
Then plug in x = 2 and use the table to fill in the rest
h ' (x) = f ' (x)*g(x) + f(x)*g ' (x)
h ' (2) = f ' (2)*g(2) + f(2)*g ' (2)
h ' (2) = 2*3 + 2*4
h ' (2) = 6 + 8
h ' (2) = 14
<h3>Answer: 14</h3>
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Problem 2
Now we'll use the quotient rule

<h3>Answer: -2/9</h3>
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Problem 3
Use the chain rule

<h3>Answer: 12</h3>
Answer:
f(3) = 45
Step-by-step explanation:
Substitute x = 3 into f(x) and evaluate
f(3) = 15 × 3 = 45
Answer:

Step-by-step explanation:

Answer: (A) SAS (B) No (C) SSS (D) No
<u>Step-by-step explanation:</u>
A) ET ≅ MT, ∠T ≅ ∠T, TA ≅ TA ⇒ Side-Angle-Side
B) top and base are congruent, diagonal is congruent to itself, but there is no way to prove that two angles are congruent without knowing if either of the sides are parallel.
C) JU ≅ JE, UN ≅ EN, JN ≅ JN ⇒ Side-Side-Side
D) angle-angle-angle only proves similarity, not congruency
Answer:
In a decimal it would be 177.577
In a fraction it would be 177 577/1000