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

Problem

d()/d(A)*(180*A−0.30*A3)

Solution

1. Identify the function to be differentiated with respect to the variable A which is s=180*A−0.30*A3

2. Apply the sum rule for derivatives, which allows for the differentiation of each term individually.

3. Apply the power rule to the first term 180*A where the derivative of c*A is c

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

5. Simplify the resulting expression by performing the multiplication 3×0.30

Final Answer

d(s())/d(A)=180−0.9*A2

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