dπ/dQ for the profit function π = −2Q3 + 15Q2 − 24Q − 3

Question

dπ/dQ for the profit function π = −2Q3 + 15Q2 − 24Q − 3

Answer 1

I'll assume you meant to write π = −2Q³ + 15Q² − 24Q − 3 then, by the power rule:

dπ/dQ = -6Q² + 30Q - 24