Partial differentiation question?

In summary, partial differentiation is a mathematical concept used in calculus to find the rate of change of a function with respect to one of its variables, while keeping all other variables constant. It is commonly used in physics, economics, and other fields of science and engineering when dealing with multivariable functions. It differs from ordinary differentiation in that it deals with functions with more than one independent variable and only takes the derivative with respect to one variable at a time. The notation used for partial differentiation is similar to ordinary differentiation, but with the symbol '∂' to indicate taking the derivative with respect to a specific variable. The main purpose of partial differentiation is to understand how a function changes with respect to one of its variables, allowing for analysis and predictions
  • #1
cowboi12345
7
0
The coefficient of rigidity n of a wire of length L and uniform diameter is given by:
n = AL/d^4

where A is a constant...If errors of +- 0.25% and +-1% are possible in measuring L and d respectively, find the maximum possible error in the calculated value of n...

how do i do this.?

I've partially differentiated it with respect to L and d...and that's about it..
 
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  • #2
ok...nvm...i got it...its +-4.25%...i forgot to include the units of 0.25L and 1d...lol...
 

Related to Partial differentiation question?

1. What is partial differentiation?

Partial differentiation is a mathematical concept used in calculus to find the rate of change of a function with respect to one of its variables, while keeping all other variables constant.

2. When is partial differentiation used?

Partial differentiation is used when dealing with multivariable functions, where the output of the function depends on more than one independent variable. It is commonly used in physics, economics, and other fields of science and engineering.

3. How is partial differentiation different from ordinary differentiation?

Ordinary differentiation deals with functions that have only one independent variable, whereas partial differentiation deals with functions that have more than one independent variable. In partial differentiation, we only take the derivative with respect to one variable at a time, while keeping all other variables constant.

4. What is the notation used for partial differentiation?

The notation used for partial differentiation is similar to ordinary differentiation, but with a slight difference. Instead of using the symbol 'd' for differentiation, we use the symbol '∂' (partial derivative symbol) to indicate that we are taking the derivative with respect to a specific variable.

5. What is the purpose of partial differentiation?

The main purpose of partial differentiation is to understand how a function changes with respect to one of its variables, while keeping all other variables constant. This allows us to analyze the behavior of multivariable functions and make predictions about their outputs.

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