Respuesta :

Answer:

28t³ - 12t² + 12t + 1

Step-by-step explanation:

Derivative Rule

  • xⁿ = nxⁿ⁻¹

Solving

  • g(t) = 7t⁴ - 4t³ + 6t² + 9t - 19
  • g'(t) = 4(7t)⁴⁻¹ - 3(4t)³⁻¹ + 2(6t)²⁻¹ + 1(9t)¹⁻¹ - 0
  • g'(t) = 28t³ - 12t² + 12t + 1