All categories

3 years ago

Use the quotient rule to find the derivative of the given function.

Mathematics

1 answer:

just olya [345]3 years ago

3 0

((x+2)(2x-6)-(x^2-6x+1)(1))/(x+2)^2

((2x^2-2x-12)-(x^2-6x+1))/(x+2)^2

(X^2+4x-13)/(x+2)^2

Quotient Rule: Bottom x derivative of the top - the top x the derivative of the bottom, all over the bottom squared

Hope this helps

You might be interested in

2.)Which sequences could be described by the recursive definition LaTeX: a_{n+1}=3\cdot a_n-1a n + 1 = 3 ⋅ a n − 1

Veronika [31]

<em>100% CORRECT ANSWERS </em>

Question 1

Consider the sequence:

8, 11, 14, 17, 20, 23, 26, ...

Write a recursive definition.

Question 2

Which sequences could be described by the recursive definition

2, 5, 14, 41, 122...

Question 3

Given that the first term is and the recursive definition is would be the 2nd term

8 0

2 years ago

Which table shows a proportional relationship between x and y?

Akimi4 [234]

Answer:

First one

Step-by-step explanation:

First choose because they are all multiply by 5

3 0

2 years ago

7. If the longer leg of a right triangle is twice as long as the shorter leg, what is the ratio of

kicyunya [14]

Answer: The ratio is 2.39, which means that the larger acute angle is 2.39 times the smaller acute angle.

Step-by-step explanation:

I suppose that the "legs" of a triangle rectangle are the cathati.

if L is the length of the shorter leg, 2*L is the length of the longest leg.

Now you can remember the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

Then there is one acute angle calculated as:

Tan(θ) = (shorter leg)/(longer leg)

Tan(φ) = (longer leg)/(shorter leg)

And we want to find the ratio between the measure of the larger acute angle and the smaller acute angle.

Then we need to find θ and φ.

Tan(θ) = L/(2*L)

Tan(θ) = 1/2

θ = Atan(1/2) = 26.57°

Tan(φ) = (2*L)/L

Tan(φ) = 2

φ = Atan(2) = 63.43°

Then the ratio between the larger acute angle and the smaller acute angle is:

R = (63.43°)/(26.57°) = 2.39

This means that the larger acute angle is 2.39 times the smaller acute angle.

5 0

2 years ago

140 subtracted from the square of a number the result is three times the number find the negative solution

natima [27]

Answer:

$Suppose~that~the~number~is~x.\\According~to~question,\\x^2-140=3x\\or, x^2-3x-140=0\\From~the~quadratic~formula,\\x = \frac{-(-3)+\sqrt{(-3)^2-4(1)(-140)} }{2(1)} ~and ~x= \frac{-(-3)-\sqrt{(-3)^2-4(1)(-140)} }{2(1)} \\or, x = \frac{3+\sqrt{9+560} }{2}~and~x=\frac{3-\sqrt{9+569} }{2}\\or, x = \frac{3+\sqrt{569} }{2}~and~x=\frac{3-\sqrt{569} }{2}\\So,~the~required~negative~number~is~\frac{3-\sqrt{569} }{2}.$

5 0

2 years ago

Write an equation of the line passing through the points (−5, 6), (−7, 3)

blsea [12.9K]

Answer:

all work is shown and pictured

7 0

3 years ago