Find the Derivative - d/dx y=x^0.9

Problem

d()/d(x)*x^0.9

Solution

1. Identify the form of the function, which is a power function x^n where n=0.9

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

3. Substitute the value n=0.9 into the power rule formula.

4. Subtract 1 from the exponent to find the new power: $0.9 - 1 = -0.1$.

5. Simplify the expression to its final form.

Final Answer

d(x^0.9)/d(x)=0.9*x^(−0.1)

Want more problems? Check here!