Find the Derivative - d/dx x^(3/4)

Problem

d(x(3/4))/d(x)

Solution

1. Identify the rule needed for the derivative, which is the Power Rule.

2. Apply the formula for the Power Rule, which states that d(xn)/d(x)=n*x(n−1)

3. Substitute n=3/4 into the formula.

4. Subtract 1 from the exponent: 3/4−1=3/4−4/4=−1/4

5. Simplify the expression to its final form.

Final Answer

d(x(3/4))/d(x)=3/4*x(−1/4)

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