Find the Derivative - d/dx x^(1/4)

Problem

d()/d(x)*x^(1/4)

Solution

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

2. Apply the formula d()/d(x)*x^n=n*x^(n−1) where n=1/4

3. Subtract 1 from the exponent to find the new power: $1/4 - 1 = -3/4$.

4. Simplify the expression by writing the result with the new coefficient and exponent.

Final Answer

d(x^(1/4))/d(x)=1/4*x^(−3/4)

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