Find the Derivative - d/d@VAR f(x)=x^(4/3)

Problem

d()/d(x)*x(4/3)

Solution

1. Identify the function as a power function of the form xn where n=4/3

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

3. Substitute the value of n into the formula to get 4/3*x(4/3−1)

4. Simplify the exponent by calculating 4/3−3/3=1/3

Final Answer

d(x(4/3))/d(x)=4/3*x(1/3)

Want more problems? Check here!