Find the Derivative - d/dx 8/(x^2)

Problem

d()/d(x)8/(x2)

Solution

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

8/(x2)=8*x(−2)

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

(d(8)*x(−2))/d(x)=8⋅(−2)*x(−2−1)

3. Simplify the coefficient and the exponent.

8⋅(−2)*x(−3)=−16*x(−3)

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

−16*x(−3)=−16/(x3)

Final Answer

d()/d(x)8/(x2)=−16/(x3)

Want more problems? Check here!