Math Problem Statement
what is the derivative of f(x)=2/x
Solution
The function you provided is:
To find the derivative , we can rewrite the function as:
Now, apply the power rule of differentiation, which states that the derivative of is . For , the derivative is:
Thus, the derivative of is:
Would you like more details or have any questions?
Here are 5 related questions to explore further:
- What is the derivative of ?
- How do you find the derivative of a quotient of two functions?
- Can you explain the product rule for derivatives?
- What is the second derivative of ?
- How would you integrate ?
Tip: Rewriting functions in terms of exponents often makes differentiation easier.
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Math Problem Analysis
Mathematical Concepts
Calculus
Differentiation
Power Rule
Formulas
f(x) = 2x^{-1}
Power Rule: d/dx[x^n] = n * x^{n-1}
Theorems
Power Rule of Differentiation
Suitable Grade Level
Grades 11-12