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natulia [17]
2 years ago
10

HELP MATH PLEASE QUICK

Mathematics
1 answer:
yulyashka [42]2 years ago
7 0

Answer:

15.7

Step-by-step explanation:

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In Exercise, find the derivative of the function.<br> y = ln(3 + x2)
erastovalidia [21]

Answer:  \dfrac{2x}{3 + x^2}

Step-by-step explanation:

We know the property of derivative: \dfrac{d}{dx}(\log (x))=\dfrac{1}{x}

Given function : y=\ln(3 + x^2)

Differentiate both sides with respect to x , we get

\dfrac{dy}{dx}=\dfrac{d}{dx}(\ln(3 + x^2))

\Rightarrow\ \dfrac{dy}{dx}=\dfrac{1}{3 + x^2}\cdot\dfrac{d}{dx}(3 + x^2)  [By Chain rule]

\Rightarrow\ \dfrac{dy}{dx}=\dfrac{1}{3 + x^2}\cdot(0+2x)

[Since \dfrac{d}{dx}(a)=0 , where a is scalar and \dfrac{d}{dx}(x^n)=n(x)^{n-1}]

\Rightarrow\ \dfrac{dy}{dx}=\dfrac{2x}{3 + x^2}

Hence, the derivative of the given function is \dfrac{2x}{3 + x^2} .

5 0
3 years ago
Write a rule for the linear function in the table.
JulijaS [17]

Answer:

I guess that you want to know the transformations:

We start with:

f(x) = y = 4*x + 3

a)the transformed function is:

f(x) = y = -4*x - 3

So the sign changed.

This means that we go from (x, y) to (x, - y)

This is a reflection over the x-axis which changes the sin of the y component.

b) Now we go to f(x) = 4*x + 3

So the coefficient in the leading term changed.

This is a horizontal contraction:

A horizontal contraction of factor K for the function g(x) is: g(K*x)

In our case, we have:

f(K*x) = 4*(k*x) + 3 = x + 3

4*k*x = x

4*k = 1

k = 1/4

Then the transformation is an horizontal contraction of scale factor 1/4.

6 0
3 years ago
-3x - 5=16 what does x equal?
alexandr1967 [171]

Answer: -7

Step-by-step explanation:

-3x - 5 = 16 (add 5 to 16)

-3x = 21 (divide by -3)

x = -7

8 0
3 years ago
Read 2 more answers
PLS COME ASAP PLS!!!!
konstantin123 [22]

Answer: 9/2

Step-by-step explanation:

21=2(6) + 2(?)

21=12 + 2(?)

9=2(?)

(9/2)=?

6 0
3 years ago
2 sentences please! i know this is math ppl...
Gre4nikov [31]
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3 years ago
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