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stepan [7]
2 years ago
10

(√x+1/√x)^2find dy/ dx and substitute 2 in dy/ dx

Mathematics
1 answer:
lions [1.4K]2 years ago
3 0
Hello,
That's better.

I suppose y=( \sqrt{x} + \dfrac{1}{ \sqrt{x} } )^2 \\

y'=2*( \sqrt{x} + \dfrac{1}{ \sqrt{x} } )*( \dfrac{1}{2 \sqrt{x} } - \dfrac{3}{2x \sqrt{x} } )

If x=2  then
y'=2*( \sqrt{2} + \dfrac{1}{ \sqrt{2} } )*( \dfrac{1}{2 \sqrt{2} } - \dfrac{3}{2*2* \sqrt{2} } )\\
=2* \dfrac{2+ \sqrt{2} }{ \sqrt{2} } * \dfrac{1}{4*\sqrt{2} } *(-1)\\
=- \dfrac{2+ \sqrt{2} }{4}

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Answer: P(3) is True

Step-by-step explanation:

The given statement is an inequality denoted as P(x). To find out which of the options is true you have to evaluate each given value of X in the inequality and perform the arithmetic operations, then you have to see if the expression makes sense.

For P(0): Replace X=0 in 2x+5>10

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For P(2): Replace X=2 in 2x+5>10

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For P(1): Replace X=1 in 2x+5>10

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2 years ago
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To me it looks like B

Step-by-step explanation:

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The equation of the line of best fit of a scatter plot y equals negative five x minus two what is the slope of the equation
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