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Question

Mathematics Question on Application of derivatives

The curve y(x) = ax3 + bx2 + cx + 5 touches the x-axis at the point P (–2, 0) and cuts the y-axis at the point Q, where y is equal to 3. Then the local maximum value of y(x) is :

A

274\frac{27}{4}

B

294\frac{29}{4}

C

374\frac{37}{4}

D

92\frac{9}{2}

Answer

274\frac{27}{4}

Explanation

Solution

From the given options the correct answer is option (A): 274\frac{27}{4}