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asambeis [7]
3 years ago
11

Y=√x find dy/dx pls show steps

Mathematics
1 answer:
katrin2010 [14]3 years ago
4 0
This involves a quick application of the power rule, which is f'(x)=nx^{n-1}.

First, it is helpful to rewrite f(x)=\sqrt{x} as f(x)=x^{\frac{1}{2}}. Remember that these are equivalent forms, but the latter is easier to use with the power rule.

We apply the power rule and simply:

\frac{1}{2}(x)^{(\frac{-1}{2})}=\dfrac{1}{2x^{1/2}} = \dfrac{1}{2 \sqrt{x} }
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X=-30 that's the right answer
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Dog weighs 5 kg or 50 kilogram
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4 0
2 years ago
Assume that the sales of a certain appliance dealer can be approximaed y sraig were $6000 in 1982 and $ 64,000 in 1987. Let x -
viktelen [127]

Answer:

y=11,600x+6,000

Yearly sales in 1990: $98,800.

Step-by-step explanation:

We have been given that the sales of a certain appliance dealer can be approximated by a straight line. Sales were $6000 in 1982 and $ 64,000 in 1987.

If at 1982, x=0 then at 1987 x will be 5.

Now, we have two points (0,6000) and (5,64000).

\text{Slope}=\frac{64,000-6,000}{5-0}

\text{Slope}=\frac{58,000}{5}

\text{Slope}=11,600

Now, we will represent this information in slope-intercept form of equation.

y=mx+b, where,

m = Slope,

b = Initial value or y-intercept.

We have been given that at x=0, the value of y is 6,000, so it will be y-intercept.

Substitute values:

y=11,600x+6,000

Therefore, the equation S=11,600x+6,000 represents yearly sales.

Now, we will find difference between 1990 and 1982.

1990-1982=8

To find yearly sales in 1990, we will substitute x=8 in the equation.

S=11,600(8)+6,000

S=92,800+6,000

S=98,800

Therefore, the yearly sales in 1990 would be $98,800.

6 0
3 years ago
Then determine which answer
shtirl [24]

Answer:

B.

Step-by-step explanation:

The graph that is going to show the function, has two parts: one for numbers equal or less than 3 and the other for numbers greater than 3

Then, for x≤3, the function is f(x) = 4. This is a constant so the graph is a horizontal line.

Additionally, for x>3, the function is f(x)=12x. This is a straight line with a positive slope.

So, the answer that follows these 2 conditions is B.

3 0
3 years ago
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