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3 years ago

What is the value of the expression shown below? 4 + 2 x 52

Mathematics

1 answer:

Nesterboy [21]3 years ago

8 0

The answer 108 because of pemdas

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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 $\frac{1}{x(lnx)}$ .

6 0

3 years ago

297689 divided by 161

faust18 [17]

Answer: 1849

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

PLEASEEEE HELP??

lora16 [44]

Is it adding or subtracting

3 0

3 years ago

Find vertex for y=x^2 - 10x + 2

NARA [144]

The vertex would be (5,-23)

8 0

3 years ago

54x+64 greater than or equal to 49x+59 <br> What is x

tekilochka [14]

We want to solve this:

54x + 64 ≥ 49x + 59

First, subtract 49x from both sides and you would get:

5x + 64 ≥ 59

Then subtract 64 from both sides:

5x ≥ -5

Divide both sides by 5:

x ≥ -1

7 0

3 years ago