Find dS/dA s=180A-0.30A^3

Problem

d(S)/d(A)* where *S=180*A−0.30*A3

Solution

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

2. Apply the power rule to the first term, 180*A which results in 180

3. Apply the power rule to the second term, −0.30*A3 by multiplying the exponent by the coefficient and decreasing the exponent by one.

4. Calculate the derivative of the second term: 3×(−0.30)=−0.90

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

Final Answer

d(S)/d(A)=180−0.90*A2

Want more problems? Check here!