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

Problem

d()/d(x)2/(x4)

Solution

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

2/(x4)=2*x(−4)

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

(d(2)*x(−4))/d(x)=2*(−4)*x(−4−1)

3. Simplify the coefficient and the exponent.

2*(−4)*x(−4−1)=−8*x(−5)

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

−8*x(−5)=−8/(x5)

Final Answer

d()/d(x)2/(x4)=−8/(x5)

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