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3 years ago

What is the first and second derivative of xe^(2x)?

2 answers:

6 0

The derivative of a function <span>xe^(2x) can be determined by applying differential calculus techniques to the equation. In this case, the applicable law is the law of products

</span><span>y = xe^(2x)
y' = 2x e^2x + e^2x
y'' = 4x e^2x + 2e^2x + 2 e^2x
Simplifying
y'' = (4x+4) e^2x </span>

Nimfa-mama [501]3 years ago

5 0

$f(x)=xe^{2x}\\\\f'(x)=x'e^{2x}+x(e^{2x})'=e^{2x}+xe^{2x}\cdot2=2xe^{2x}+e^{2x}=e^{2x}(2x+1)\\\\f''(x)=(e^{2x})'(2x+1)+e^{2x}(2x+1)'=e^{2x}\cdot2(2x+1)+e^{2x}\cdot2\\\\=e^{2x}(4x+2)+2e^{2x}=(4x+2+2)e^{2x}=(4x+4)e^{2x}\\\\Answer:\\\boxed{f'(x)=(2x+1)e^{2x}\ and\ f''(x)=(4x+4)e^{2x}}$

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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago

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3 years ago

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3 years ago

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A) The data generated is a cross-sectional data because time is not a factor .Secondly. 2,300(variables) people are selected at a particular time.

B) It is a ratio level of measurement because zero has meaning and it is clearly defined that is if the customer did not wait and was attended to immediately then the value is zero. Secondly there is a greater than and less than relationship that exits between the data for example if a customer wait for 20 minutes and another customer waits for 25 minutes, 25 is greater than 20. Hence the greater than and less than relation between data.

C)The level of measurement achieve from the data collected from this question is ordinal and the data is a qualitative. It’s ordinal because the relationship between the data set is focused on the order at which the data value are arranged. Secondly it’s a qualitative data set in the data value represents the difference in quality and not necessarily how much the difference is.

Step-by-step explanation:

Step One: Definition Of Cross-sectional data,

This can be defined as a type of data that is been collected by noting or observing many variables at a given period of time

Step Two:Definition Of Time series data

This can be defined as a type of that that is been collected by noting or observing a particular variable at different points of time. They are usually collected at fixed intervals

Step Three: Difference between cross-sectional data and time series data

The main difference between time series data and cross-sectional data is that for time series data the focus of observation for collecting the data s on the same variable over a period of time while for cross sectional data the focus is on the different variable at the same point in time

Step Four: Definition Of Level of measurement

This defines the relationship that exits among data values. The of level of measurement includes nominal, ordinal, interval, ratio

Step Five:Definition Of Ratio level of measurement

The ratio level of measurement or the ratio scale gives a description of the order and the exact difference that exit between data values, it also has a clear definition for zero value.

Step Six:Definition Of Ordinal level of measurement

For this level of measurement the main focus is the order of the data values, but the exact difference between each data values is not really specified looking at our question part c we know that a #7 is better than a #6 but we cannot say how much better it is.

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