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MATHEMATICS

JAMB 2003 - Question 36

Mathematics 2003 JAMB Past Questions - Question 36: Find the slope of the curve Y= 2X² + 5X -3 at (1,4)

Find the slope of the curve Y= 2X² + 5X -3 at (1,4)

A: 4

B: 6

C: 7

D: 9

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Correct Answer

Explanation

To find the slope of the curve at a specific point, we need to find the derivative of the function and evaluate it at that point.Given the function y = 2x² + 5x - 3, let's find its derivative:dy/dx = d/dx (2x² + 5x - 3) = 4x + 5Now, we can evaluate the derivative at the point (1, 4):slope = dy/dx at x = 1 = 4(1) + 5 = 4 + 5 = 9Therefore, the slope of the curve y = 2x² + 5x - 3 at the point (1, 4) is 9.