Find the Derivative - d/dx y=pi/((3x)^2)

Problem

d()/d(x)π/((3*x)2)

Solution

1. Simplify the expression by squaring the term in the denominator.

π/((3*x)2)=π/(9*x2)

2. Rewrite the expression using a negative exponent to prepare for the power rule.

π/(9*x2)=π/9*x(−2)

3. Apply the power rule by multiplying the coefficient by the exponent and subtracting one from the exponent.

d()/d(x)π/9*x(−2)=π/9⋅(−2)*x(−3)

4. Simplify the resulting expression and move the variable back to the denominator.

−(2*π)/9*x(−3)=−(2*π)/(9*x3)

Final Answer

d()/d(x)π/((3*x)2)=−(2*π)/(9*x3)

Want more problems? Check here!