Find the Derivative - d/dx 1/(x^10)

Problem

d()/d(x)1/(x10)

Solution

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

1/(x10)=x(−10)

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

d(x(−10))/d(x)=−10*x(−10−1)

3. Simplify the exponent by performing the subtraction.

−10*x(−11)

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

(−10)/(x11)

Final Answer

d()/d(x)1/(x10)=−10/(x11)

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