Question

Find the derivative
g(t)=7t4 –4t3 +6t2 +9t–19

Answer 1

28t³ - 12t² + 12t + 1

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