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Alex17521 [72]
2 years ago
12

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

Mathematics
1 answer:
Fiesta28 [93]2 years ago
6 0

Answer:

<u>28t³ - 12t² + 12t + 1</u>

Step-by-step explanation:

<u><em>Derivative Rule</em></u>

  • xⁿ = nxⁿ⁻¹

<u>Solving</u>

  • 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) = <u>28t³ - 12t² + 12t + 1</u>
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