Find ds/dA s=360A-0.10A^3

Problem

d(s())/d(A)* where *s=360*A−0.10*A3

Solution

1. Identify the function to be differentiated with respect to the variable A

2. Apply the power rule to the first term, 360*A which states that d()/d(x)*c*x=c

3. Apply the power rule to the second term, −0.10*A3 which states that d()/d(x)*xn=n*x(n−1)

4. Calculate the derivative of the second term by multiplying the exponent by the coefficient: 3×−0.10=−0.30

5. Combine the results to find the final expression for the derivative.

Final Answer

d(s())/d(A)=360−0.30*A2

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