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Gnom [1K]
3 years ago
13

Differentiating a Logarithmic Function In Exercise, find the derivative of the function.

Mathematics
1 answer:
sp2606 [1]3 years ago
5 0

Answer:

\dfrac{d(f(x))}{dx} = \dfrac{2}{x}

Step-by-step explanation:  

We are given the following function in the question:

f(x) = \ln (3x^2)

We have to derivate the given function.

Formula:

\dfrac{d(\ln x)}{dx} = \dfrac{1}{x}\\\\\dfrac{d(x^n)}{dx} = nx^{n-1}

The derivation takes place in the following manner

f(x) = \ln (3x^2)\\\\\dfrac{d(f(x))}{dx} = \displaystyle\frac{d(\ln(3x^2))}{dx}\\\\=\frac{1}{3x^2}\times \frac{d(3x^2)}{dx}\\\\= \frac{1}{3x^2}\times (6x)\\\\=\frac{6x}{3x^2}\\\\=\frac{2}{x}

\dfrac{d(f(x))}{dx} = \dfrac{2}{x}

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3 years ago
How many other states have a similar law? all 50 states 48 states 40 other states 52 states
Mandarinka [93]

Answer:

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Step-by-step explanation:

4 0
2 years ago
Robert plays cricket. He hit the ball in such a way that it goes up 180 feet
PilotLPTM [1.2K]

Answer:

4 feet per second

Step-by-step explanation:

Hi there!

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v=180/45\\v=4

Therefore, the speed of the ball is 4 feet per second.

I hope this helps!

4 0
3 years ago
Read 2 more answers
I need help someone pleace
Galina-37 [17]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
Hi, can somoene please check why my solution and explain why I get the wrong answer.
trapecia [35]

Answer:

a_n=(1-n)2^n+3^n

Step-by-step explanation:

You are correct down to the part where you add the partial results:

a_n=a_n^h+a_n^p=A3^n+B2^n-n2^n\\\text{Using the given starter values, we can find A, B:}\\a_0=2=A\\a_1=7=3A+2B+2\\\text{has solution A=1, B=1, so ...}\\\\a_n=3^n+2^n-n2^n

4 0
3 years ago
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