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20-04-2022
Mathematics

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

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Аноним Аноним

20-04-2022

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

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