Find the slope of the curve y = 2x2n+ 5x - 3 at (1, 4).

Assessment: JAMB UTME - Mathematics - 2003 Subject: General Mathematics

Question 1 Report

Find the slope of the curve y = 2x2n+ 5x - 3 at (1, 4).
Answer Details
To find the slope of the curve at a specific point, we need to find the first derivative of the curve and substitute the x-coordinate of the point of interest to obtain the slope. The given curve is y = 2x2n + 5x - 3, and its first derivative is obtained by differentiating each term with respect to x. dy/dx = 4xn + 5 Substituting x = 1 (as given) into the derivative, we get: dy/dx = 4(1)n + 5 = 4 + 5 = 9 Therefore, the slope of the curve at the point (1,4) is 9.
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