Find the Derivative - d/dx y=x^(4/9)

Problem

d()/d(x)*x(4/9)

Solution

1. Identify the function as a power function of the form xn where n=4/9

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 4/9*x(4/9−1)

4. Subtract the exponents by finding a common denominator: 4/9−9/9=−5/9

5. Simplify the expression to its final form.

Final Answer

d(x(4/9))/d(x)=4/9*x(−5/9)

Want more problems? Check here!