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2 years ago

1 Kembangkan setiap yang berikut. (a) 3x(2 - xy) (b) (4p + 9(-2)

Mathematics

1 answer:

Goryan [66]2 years ago

5 0

Answer:

6x*2-3x*2y

4p-18

Step-by-step explanation:

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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

Leni [432]

Answer: $\dfrac{2x^2-1}{x(x^2-1)}$

Step-by-step explanation:

The given function : $y=\ln(x(x^2 - 1)^{\frac{1}{2}})$

$\Rightarrow\ y=\ln x+\ln (x^2-1)^{\frac{1}{2}}$ [ $\because \ln(ab)=\ln a +\ln b$ ]

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

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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3 years ago

Can someone help me figure out this

QveST [7]

Answer:

YES

Step-by-step explanation:

The criterion for formation of a triangle is that the sum of any 2 sides should be greater than or equal to the third side

So, we will test it for all 3 sides

7.4 + 12.5 ≥ 19.9

TRUE

12.5 + 19.9 ≥ 7.4

TRUE

7.4 + 19.9 ≥ 12.5

TRUE

Therefore, the segments with the sides: 7.4 , 12.5 and 19.9 do form a triangle

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Step-by-step explanation:

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AysviL [449]

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Step-by-step explanation:

25 x 2 - 45 x -10

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