Find the Derivative - d/dx x^(1/2)

Problem

d(x(1/2))/d(x)

Solution

1. Identify the form of the expression as a power function xn where n=1/2

2. Apply the power rule for differentiation, which states that d(xn)/d(x)=n*x(n−1)

3. Substitute the value of n into the formula to get 1/2*x(1/2−1)

4. Simplify the exponent by calculating 1/2−1=−1/2

5. Rewrite the expression using positive exponents or radical notation if desired.

Final Answer

d(x(1/2))/d(x)=1/(2√(,x))

Want more problems? Check here!