Find the Derivative - d/dx 7/(x^4)

Problem

d()/d(x)7/(x4)

Solution

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

7/(x4)=7*x(−4)

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

(d(7)*x(−4))/d(x)=7⋅(−4)*x(−4−1)

3. Multiply the constants and simplify the exponent.

7⋅(−4)*x(−5)=−28*x(−5)

4. Convert the expression back into fraction form by moving the variable with the negative exponent to the denominator.

−28*x(−5)=−28/(x5)

Final Answer

d()/d(x)7/(x4)=−28/(x5)

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