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2 years ago

Find the derivative for the problem below and show ur work

Mathematics

1 answer:

aliya0001 [1]2 years ago

7 0

The derivative of the function is $\frac{3\left(6x+5\right)\left(3x^2+5x+1\right)^{\frac{1}{2}}}{2}$ .

<h3>What is Derivative?</h3>

The derivative is the instantaneous rate of change of a function with respect to one of its variables.

Given function:

y= (3x²+5x+1) $^{3/2}$

Differentiating and applying chain rule

= 3/2 * (3x²+5x+1) $^{1/2}$ d/dx (3x²+5x+1)

= 3/2 * (3x²+5x+1) $^{1/2}$ (6x+5)

= $\frac{3\left(6x+5\right)\left(3x^2+5x+1\right)^{\frac{1}{2}}}{2}$

Hence, the value of derivative is $\frac{3\left(6x+5\right)\left(3x^2+5x+1\right)^{\frac{1}{2}}}{2}$

Learn more about derivative here:

brainly.com/question/124529

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!!!!!!PLEASE I NEED HELP!!!!!! I WILL GIVE YOU BRAINLIEST!!!!!

stepan [7]

Step-by-step explanation:

-x, -(x+1)

-x-(x+1)=10506

x^2+x-10506=0

4 0

3 years ago

The number of years of education of self-employed individuals in the united states has a population mean of 13.6 years and a pop

muminat

Answer:

0.3 years

Step-by-step explanation:

With problems like these, I always like to start by breaking down the information into smaller pieces.

μ = 13.6

σ = 3.0

Survey of 100 self-employed people

(random variable) X = # of years of education

So now we have some notation, where μ represents population mean and σ represents population standard deviation. Hopefully, you already know that the sample mean of x-bar is the same as the population mean, so x-bar = 13.6. Now, the question asks us what the standard deviation is. Since the sample here is random, we can use the Central Limit Theorem, which allows us to guess that a distribution will be approximately normal for large sample sizes (that is, n ≥ 30). In this case, our sample size is 100, so that is satisfied. We're also told our sample is random, so we're good there, too. Now all we have to do is plug some stuff in.

The Central Limit Theorem says that for large values of n, x-bar follows an approximately normal distribution with sample mean = μ and sample standard deviation = σ/√n. So, with that info, all we need to do to find the standard deviation of x-bar is to plug our σ and n into the above formula.

σ(x-bar) = σ/√n

σ(x-bar) = 3.0/√100

σ(x-bar) = 0.3

So your answer here is .3 years.

7 0

3 years ago

Solve for x . Leave your answer in the simplest form

Alisiya [41]

Hello!

Here we are given a composite shape, meaning that we can divide this shape up into ways that we are given formulas to solve for legs and such.

I can see here that this can be divided into a triangle and a rectangle using a horizontal line.

The leg lengths of this triangle would be 9, because it is congruent to the bottom side of the rectangle, and 7, because it is the left side minus the right side.

This would also make a right triangle, meaning we could solve for the hypotenuse utilizing the Pythagorean Theorem.

$a^2+b^2=c^2$