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

User Patrick Beagan
by
2.8k points

1 Answer

10 votes
10 votes

Answer:

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
User Daniyal Dehleh
by
3.0k points
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