Is This Derivation of the Function Correct?

  • Thread starter Wingman
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In summary, the conversation is about someone asking for help with a function and others questioning whether they have actually tried to solve it themselves. The person eventually shares their solution, which is copied from Mathematica.
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  • #2
I don't see how we can tell you whether you are right or wrong if you don't tell us what answer you got! (Even better, show us what you did so if it is wrong we can explain where you went wrong.)


There are some mean-spirited people who might suspect that people who ask for the correct answer so they can "see if my answer is correct" haven't actually done anything and just want someone to give them the answer!
 
  • #3
What you are saying is totally true, be adviced that the function is tideous and writing the solution(s) in equation 3.0 takes quite a time. I can gladly announce that i finally managed to solve it and will state the solution later on. Thanks anyway
 
  • #4
Here is the answer copied from mathematica:

[tex]\frac{e^{Sin(x)}(x-1)^6(x^2 +3)^4 (x^6 +6x^5 -18x^4 +46x^3 +14x^2 + 14x + 21x + Cos(x)(x^7 -x^6 +4x^5 -4x^4 +4x^3 -4x^2 +3x -3)}{(x^4 + x^2 + 1 )^5}[/tex]
 

1. What is a function and how is it derived?

A function is a mathematical relationship between two variables, where one variable (dependent variable) depends on the other variable (independent variable). A function can be derived by using the concept of derivatives, which measures the rate of change of one variable with respect to another. This is done by taking the limit of the ratio of small changes in the dependent variable to small changes in the independent variable.

2. Why is it important to know how to derive a function?

Deriving functions allows us to understand the behavior and properties of a system or process. It helps us to make predictions and analyze the relationships between variables. This is especially useful in fields such as physics, engineering, and economics.

3. Can you provide an example of deriving a function?

Sure, let's say we have a function f(x) = x^2. To derive this function, we use the power rule which states that the derivative of x^n is n*x^(n-1). Applying this rule to our function, we get f'(x) = 2x. This tells us that the rate of change of f(x) with respect to x is 2x.

4. Are there any other methods for deriving functions?

Yes, there are other methods such as the product rule, quotient rule, and chain rule. These rules are used when the function involves multiple variables and/or operations.

5. What are some common applications of derived functions?

Derived functions are used in various fields such as physics, engineering, economics, and statistics. In physics, they are used to describe the motion and behavior of objects. In engineering, they help in designing and optimizing systems. In economics, they are used to model and analyze markets. In statistics, they are used to calculate probabilities and describe relationships between variables.

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