How do you differentiate this?

In summary, differentiating content involves understanding the unique qualities and characteristics of information and presenting it in a way that is tailored to a specific audience or purpose. It requires the ability to analyze, synthesize, and condense complex ideas and present them in a clear and concise manner. Differentiation can be achieved through various techniques, such as summarizing, paraphrasing, and visual aids, to effectively communicate the key points and main ideas of the content. It is a valuable skill for effectively conveying information and engaging with diverse audiences.
  • #1
Dr. HappyNuke
8
0
Here's the problem:

Differentiate: http://www.webassign.net/www31/symImages/9/b/f70b139b79e8157ad26bf9782128ae.gif

I tried this and somehow came up with 7(x^3/2) - 8(x^1/2). But that is not correct.

How do you do this? I really appreciate your help. Thanks.
 
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  • #2
I applied the Product Rule and got this :

7.Sqrt[x] + (7x - 8)/(2.Sqrt[x])
 
  • #3
7(x^3/2) - 8(x^1/2) is just from multiplying out the bracket, you haven't actually differentiated it yet. See if you get the right answer when differentiating what you already have :)
 
  • #4
omg you're right...I feel so stupid. >< I shouldn't have taken calc over the summer! lol
 
  • #5
Don't worry, I have moments like that far too often. Good luck!
 

1. How do you differentiate between qualitative and quantitative data?

Qualitative data refers to non-numerical data that describes qualities or characteristics, while quantitative data refers to numerical data that can be measured. To differentiate between the two, you can ask yourself if the data is describing qualities or quantities. Qualitative data is typically subjective and can be gathered through observations or interviews, while quantitative data is objective and can be measured using statistical methods.

2. What is the difference between correlation and causation?

Correlation refers to a relationship between two variables, where a change in one variable is associated with a change in the other variable. Causation, on the other hand, refers to a direct cause-and-effect relationship between two variables, where a change in one variable directly causes a change in the other variable. Correlation does not necessarily imply causation, as there could be other factors at play that are causing the observed relationship.

3. How do you differentiate between a hypothesis and a theory?

A hypothesis is a proposed explanation for a phenomenon that is based on limited evidence and is subject to further testing. A theory, on the other hand, is a well-supported and widely accepted explanation for a phenomenon that has been extensively tested and verified. In other words, a hypothesis is an educated guess while a theory is a well-established scientific principle.

4. What is the difference between accuracy and precision?

Accuracy refers to how close a measured value is to the true value, while precision refers to how close multiple measurements of the same quantity are to each other. In other words, accuracy measures correctness while precision measures consistency. A measurement can be accurate but not precise, precise but not accurate, or both accurate and precise.

5. How do you differentiate between a control group and an experimental group?

A control group is a group in an experiment that is not exposed to the independent variable, while an experimental group is a group that is exposed to the independent variable. The purpose of a control group is to provide a baseline for comparison and to ensure that any observed effects are due to the independent variable and not other factors. The experimental group is the group that is being tested to see the effects of the independent variable.

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