Differentiate the function P = 2t³ + 6eᵗ.

a) (dP/dt) = 6t² + 6eᵗ
b) (dP/dt) = 6t² + 2eᵗ
c) (dP/dt) = 6t² + 3eᵗ
d) (dP/dt) = 6t² + 5eᵗ