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Find the derivative g(t)=7t4 –4t3 +6t2 +9t–19
asked
Oct 27, 2023
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Find the derivative
g(t)=7t4 –4t3 +6t2 +9t–19
Mathematics
high-school
Geauser
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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
Sharmeca
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Nov 2, 2023
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Sharmeca
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