- Homework Statement
- can someone check to see if my work is correct?
- Relevant Equations
please excuse me horrible writing, it's supposed to be a 4DaveE said:It looks like there's a "u" term in your answer but none in the original problem. A typo?
ttpp1124 said:please excuse me horrible writing, it's supposed to be a 4
The purpose of differentiating but not simplifying an equation is to find the derivative of the function without changing its form. This allows for a more accurate representation of the original function and can be useful in solving complex problems.
To differentiate a logarithmic function, you can use the power rule, which states that the derivative of ln(x) is 1/x. In the case of the given equation, the derivative would be 3/(4-x+5x^2).
Simplifying the equation before differentiating can result in a loss of information and may not accurately represent the original function. By differentiating without simplifying, the derivative will be in its most accurate form.
Yes, you can simplify the equation after differentiating if needed. However, it is important to note that simplifying may result in a loss of information and may not accurately represent the original function.
Differentiating without simplifying can be useful in real-world applications, such as in physics and engineering, where precise calculations are necessary. It allows for a more accurate representation of the original function and can help in solving complex problems.