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Find the maximum value of y 3x 2 5x - 3 - JAMB Mathematics 2021 Question

Find the maximum value of y=3x\(^2\) + 5x - 3

A

6

B

0

C

2

D

No correct option

correct option: a

y=3x\(^2\) + 5x - 3

dy/dx = 6x + 5

as dy/dx = 0

6x + 5 = 0

x = \(\frac{-5}{6}\)

At maximun: 3 \( ^2{\frac{-5}{6}}\)  + 5 \(\frac{-5}{6}\) - 3

3 \(\frac{75}{36}\) - \(\frac{25}{6}\) - 3

App the L.C.M.: 36

= \(\frac{25 - 50 - 36}{36}\)

= \(\frac{-61}{36}\)

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