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yawa3891 [41]
3 years ago
9

Correct answers will get brainliest

Mathematics
2 answers:
matrenka [14]3 years ago
7 0

Step-by-step explanation:

1 i dont know

2.

5(3y - 2) = 35 \\  = 15y - 10 = 35 \\  = 15y = 35 + 10 = 45 \\y  =  \frac{45}{15}  = 3

3.

\frac{88}{100}  =  \frac{22}{25}

kondor19780726 [428]3 years ago
4 0

Answer:

Step-by-step explanation:

I hope it could help u and if isn't clear then let me know ..

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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.
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Answer:  \dfrac{2x^2-1}{x(x^2-1)}

Step-by-step explanation:

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\Rightarrow y=\ln x+\dfrac{1}{2}\ln (x^2-1)}  [\because \ln(a)^n=n\ln a]

Now , Differentiate both sides  with respect to x , we will get

\dfrac{dy}{dx}=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})\dfrac{d}{dx}(x^2-1) (By Chain rule)

[Note : \dfrac{d}{dx}(\ln x)=\dfrac{1}{x}]

\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x-0)

[ \because \dfrac{d}{dx}(x^n)=nx^{n-1}]

=\dfrac{1}{x}+\dfrac{1}{2}(\dfrac{1}{x^2-1})(2x) = \dfrac{1}{x}+\dfrac{x}{x^2-1}\\\\\\=\dfrac{(x^2-1)+(x^2)}{x(x^2-1)}\\\\\\=\dfrac{2x^2-1}{x(x^2-1)}

Hence, the derivative of the given function is \dfrac{2x^2-1}{x(x^2-1)} .

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Elena-2011 [213]
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