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3 years ago

Cual es el resultado de esta derivada? y=³√3x³-2x+5

Mathematics

1 answer:

Taya2010 [7]3 years ago

8 0

Queremos derivar la expresión dada, obtendremos el resultado:

$y' = \frac{3x^2 - 2}{(3x^3 - 2x + 5)^{2/3}}$

<h3 /><h3>Derivada de la composición:</h3>

Asumo que la expresión dada es:

$y = \sqrt[3]{3x^3 - 2x + 5} = (3x^3 - 2x + 5)^{1/3}$

Para derivar esto primero usamos la regla de la composición, si:

f(x) = g(h(x))

entonces la derivada de la función f(x) se puede escribir como:

f'(x) = g'(h(x))*h'(x)

Usando está regla y tomando:

g(x) = x^(1/3)
h(x) = 3x^3 - 2x + 5.

Obtendremos:

$y = (1/3)*\frac{3*3x^2 - 2}{(3x^3 - 2x + 5)^{2/3}} = \frac{3x^2 - 2}{(3x^3 - 2x + 5)^{2/3}}$

Lo cual nos da la derivada deseada.

Sí quieres aprender más sobre derivadas, puedes leer:

brainly.com/question/25827985

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Which is the equation of a line parallel to the line with the equation: y = −14x + 7

Anon25 [30]

Answer:

y = −14x + 3

Step-by-step explanation:

Parallel lines have the same slope

The equation y = −14x + 7 is put in slope intercept form ( y = mx + b )

Where m = slope

-14 takes "m's" place meaning that the slope = -14

If parallel lines have the same slope than the equation of a line parallel to y = −14x + 7 must have a slope of -14

The only equation that has a slope of -14 is D

7 0

3 years ago

A right triangle △ABC with right angle C is inscribed in a circle. Find the radius of this circle if:

KIM [24]

Answer:

The radius = 18 cm

Step-by-step explanation:

* Lets take about the inscribed triangle in a circle

- If the three vertices of a triangle lie on the circumference of a circle,

then this triangle is inscribed in the circle

- The vertices of the triangle are inscribed angles in the circle

- The inscribed angle opposite to a circle's diameter is always a

right angle (its measure is 90°)

- Now lets solve the problem

∵ Δ ABC is a right triangle at C

∴ m∠C = 90°

∵ Δ ABC is inscribed in a circle

∴ A , B , C lie on the circumference of the circle

∴ ∠A , ∠B , ∠C are inscribed angles in the circle

∴ m∠C = 90°

∵ ∠C is opposite to the side AB

∴ AB is the diameter of the circle ⇒ from the bold note above

∵ m∠B = 30°

∵ AC = 18 cm

- Lets use the trigonometry function to find the length of AB

* In Δ ABC

∵ AC is opposite to angle B

∵ AB is the hypotenuse

∵ sin Ф = opposite/hypotenuse

∴ sin B = AC/AB

∴ sin (30)° = 18/AB ⇒ using cross multiplication

∴ AB sin (30)° = 18 ⇒ divide both sides by sin (30)°

∴ AB = 18/sin(30)°

∵ sin(30)° = 1/2

∴ AB = 18/(1/2) = 36 cm

∵ AB is the diameter of the circle

∵ The length of the radius of a circle = 1/2 the length of the diameter

∴ The radius = 1/2 × 36 = 18 cm

7 0

4 years ago

An oil drilling company ventures into various locations, and its success or failure is independent from one location to another.

densk [106]

Answer:

a) 18.77% probability that the driller drills at 10 locations and has 1 success

b) 75.60% probability that the driller drills at 10 locations and has at least 2 success

Step-by-step explanation:

For each drill, there are only two possible outcomes. Either it is a success, or it is not. The probability of a drill being a success is independent of other drills. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

10 locations

This means that $n = 10$

Suppose the probability of a success at any specific location is 0.25.

This means that $p = 0.25$

(a) What is the probability that the driller drills at 10 locations and has 1 success?

This is P(X = 1).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{10,1}.(0.25)^{1}.(0.75)^{9} = 0.1877$

18.77% probability that the driller drills at 10 locations and has 1 success

(b) What is the probability that the driller drills at 10 locations and has at least 2 success?

Either there are less than 2 success, or there are at least 2. The sum of the probabilities of these events is decimal 1. So

$P(X < 2) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

$P(X \geq 2) = 1 - P(X < 2)$

In which

$P(X < 2) = P(X = 0) + P(X = 1)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.25)^{0}.(0.75)^{10} = 0.0563$

$P(X = 1) = C_{10,1}.(0.25)^{1}.(0.75)^{9} = 0.1877$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.0563 + 0.1877 = 0.2440$

$P(X < 2) = P(X = 0) + P(X = 1) = 1 - 0.244 = 0.756$

75.60% probability that the driller drills at 10 locations and has at least 2 success

8 0

3 years ago

How many different license plates can be made if each license plate is to consist of 3 letters, followed by 2 digits, and no let

ANTONII [103]

Explanation: The alphabet consists of 26 letters, and if each license plate has 3 letters we can make 8 plates. It may be followed by 2 digits but there is a plenty amount of different 2 digit numbers so we don't have to worry about that.

Answer: 8 License plates

Hope this helped! :D

8 0

2 years ago

Simply the imaginary number square root -45

Paraphin [41]

Answer:

3i $\sqrt{5}$