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Dahasolnce [82]
2 years ago
10

Question 1- Whats the derivative of: A) f(x)= 4 cos(x) + ln(x+1) B) f(x)= sec(x) X tg(x)

Mathematics
1 answer:
Kryger [21]2 years ago
4 0

The derivatives for this problem are given as follows:

a) f^{\prime}(x) = -4\sin{x} + \frac{1}{x + 1}

b) f^{\prime}(x) = \sec{x}\tan^{2}{x} + \sec^3{x}.

<h3>What is the derivative of the sum?</h3>

The derivative of the <u>sum is the sum of the derivatives</u>.

In this problem, the function is:

f(x) = 4\cos{x} + \ln{(x + 1)}

Using a derivative table for the derivatives of the cosine and the ln, the derivative of the function is:

f^{\prime}(x) = (4\cos{x})^{\prime} + (\ln{(x + 1)})^{\prime}

f^{\prime}(x) = -4\sin{x} + \frac{1}{x + 1}

What is the product rule?

The derivative of the product is given as follows:

(f(x) \times g(x))^{\prime} = f^{\prime}(x)g(x) + g^{\prime}(x)f(x)

In this problem, we have that:

  • f(x) = \sec{x}, f^{\prime}(x) = \sec{x}\tan{x}.
  • g(x) = \tan{x}, f^{\prime}(x) = \sec^2{x}.

Hence the derivative is:

f^{\prime}(x) = \sec{x}\tan^{2}{x} + \sec^3{x}.

More can be learned about derivatives at brainly.com/question/2256078

#SPJ1

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Please Help!!
GarryVolchara [31]

Answer:

D:) (2,2,) is the Answer

Step-by-step explanation:

Solve the following system:


{X - 2 Y = -2 | (equation 1)


{3 X - 2 Y = 2 | (equation 2)



Swap equation 1 with equation 2:


{3 X - 2 Y = 2 | (equation 1)


{X - 2 Y = -2 | (equation 2)



Subtract 1/3 × (equation 1) from equation 2:


{3 X - 2 Y = 2 | (equation 1)


{0 X - (4 Y)/3 = (-8)/3 | (equation 2)



Multiply equation 2 by -3/4:


{3 X - 2 Y = 2 | (equation 1)


{0 X+Y = 2 | (equation 2)



Add 2 × (equation 2) to equation 1:


{3 X+0 Y = 6 | (equation 1)


{0 X+Y = 2 | (equation 2)



Divide equation 1 by 3:


{X+0 Y = 2 | (equation 1)


{0 X+Y = 2 | (equation 2)



Collect results:


Answer:  {X = 2 , Y = 2

4 0
3 years ago
Read 2 more answers
Please solve ILL MARK YOU BRAINIEST!!!!!!!
sweet [91]

Answer:

14. 4 + x - 2

15. 8k - 3k

16. 5 + 2y + 15

Step-by-step explanation:

14. "sum" means adding, "minus" means subtract

sum of four and x: 4 + x

minus two: 4 + x - 2

15. "product" means multiplying, "decreased by" means subtract, "times" means multiply

the product of k and 8: 8k

three times k: 3k

the product of k and 8 decreased by three times k: 8k - 3k

(Depending on what the question is asking, you may or may not need to simplify this to 5k (8k - 3k = 5k))

16. "more" means add, "plus" means add, "twice" means multiply by two

five: 5

plus twice y:  5 + 2y

fifteen more: 5 + 2y + 15

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3 years ago
A company logo is shaped like an equilateral triangle with 2-in.-long sides. What is the height of the logo? Round to the neares
deff fn [24]

Answer:

B. 1.7 in

Step-by-step explanation:

Divide the triangle into 2 congruent right angle triangles

With hypotenuse: 2

Base: 2/2 = 1

Using pythagoras theorem

2² = 1² + h²

h² = 3

h = sqrt(3)

h = 1.732050808

6 0
3 years ago
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1.Choose the following ratios as a decimal: 3 out of 4 games won
Tju [1.3M]
.75 for the first question

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Sequence of numbers 1.5,2.25,3.0,3.75 in a recursive formula?
stellarik [79]

Answer:

f(n + 1) = f(n) + 0.75

Step-by-step explanation:

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