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

Find the derivative g(t)=7t4 –4t3 +6t2 +9t–19
asked 53.0k views
17 votes
Find the derivative
g(t)=7t4 –4t3 +6t2 +9t–19

asked
User Geauser
by
7.0k points

1 Answer

6 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
answered
User Sharmeca
by
8.3k points
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