Find the Derivative - d/dx y=x^0.7

Problem

d()/d(x)*x^0.7

Solution

1. Identify the form of the function, which is a power function x^n where n=0.7

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

3. Substitute the value n=0.7 into the power rule formula.

4. Subtract 1 from the exponent to find the new power: $0.7 - 1 = -0.3$.

5. Simplify the expression to its final form.

Final Answer

d(x^0.7)/d(x)=0.7*x^(−0.3)

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