Find the Derivative - d/dx 4/(3x^2)

Problem

d()/d(x)4/(3*x2)

Solution

1. Rewrite the expression using a negative exponent to make it easier to differentiate.

4/(3*x2)=4/3*x(−2)

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

d()/d(x)4/3*x(−2)=4/3⋅(−2)*x(−2−1)

3. Simplify the coefficients and the exponent.

4/3⋅(−2)*x(−3)=−8/3*x(−3)

4. Rewrite the result with a positive exponent by moving the variable back to the denominator.

−8/3*x(−3)=−8/(3*x3)

Final Answer

d()/d(x)4/(3*x2)=−8/(3*x3)

Want more problems? Check here!