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3 years ago

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1 answer:

alina1380 [7]3 years ago

3 0

Answer:

1) because they are vertical angles

2) because SAS

3) CPCTC

4) Converse of the Alternate Interior Angles

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What is the derivative of ln(lnx^3)

chubhunter [2.5K]

the derivative of ln(lnx^3) is $\frac{1}{x(lnx)}$ .

<u>Step-by-step explanation:</u>

Here we have to find the derivative of ln(lnx^3) , Let's find out:

We have , $ln(lnx^3)$ , Let's differentiate it w.r.t x :

⇒ $\frac{d(ln(lnx^3))}{dx}$

Let $lnx^3 = u$

⇒ $\frac{d(ln(u))}{dx}$

⇒ $\frac{1}{u} (\frac{d(u)}{dx} )$

⇒ $\frac{1}{u} (\frac{d(ln(x^3))}{dx} )$

Let $x^3=v$

⇒ $\frac{1}{u} (\frac{d(ln(v))}{dx} )$

⇒ $\frac{1}{u}(\frac{1}{v} ) (\frac{d(v)}{dx} )$

⇒ $\frac{1}{u}(\frac{1}{v} ) (\frac{d(x^3)}{dx} )$

⇒ $3x^2(\frac{1}{u})(\frac{1}{v} )$

Putting value of u & v we get:

⇒ $3x^2(\frac{1}{lnx^3})(\frac{1}{x^3} )$

⇒ $\frac{3}{x(lnx^3)}$ { $lnx^n = n(lnx)$ }

⇒ $\frac{3}{3x(lnx)}$

⇒ $\frac{1}{x(lnx)}$

Therefore , the derivative of ln(lnx^3) is $\frac{1}{x(lnx)}$ .

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3 years ago

What is the solution and the inequality and the graph

balandron [24]

I don’t know because the picture is bad but I think I can help I will be back

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3 years ago

Nevio mixed \dfrac5{8}\text{ L} 8 5 Lstart fraction, 5, divided by, 8, end fraction, start text, space, L, end text of water w

kkurt [141]

Answer:

Not clear what you're trying to say. Maybe try and clear it up a bit?

Step-by-step explanation:

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3 years ago

A retailer is offering 5% off your total order, if you sign up for their email list. If your total is $254.20, how much will you

drek231 [11]

Answer:

$254.20 - 5%= 241.49 US$

so you will save up to 14

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3 years ago

A hummingbird can beat its wings 4,200 times in a minute in normal flight. Write an equation that can be used to find the number

vodka [1.7K]

We have been given that a hummingbird can beat its wings 4,200 times in a minute. We need to find the equation that represents the number of times the hummingbird beats its wings in an hour.

We know that there are 60 minutes in an hour.

Hence, in an hour, the hummingbird can beat $60\times 4200$ times its wings.

Therefore, the required equation is given by

$b=60\times 4200
\\
\text{When solving the equation, we get}\\
b=252000$

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3 years ago