KEAM 2015 Mathematics Version B4 Question 1 [Solution Explained]
Here is the solution and explanation for KEAM 2015 Mathematics Version B4 Question 1. For more answers and news, follow us on Facebook.
KEAM 2015 Mathematics Version B4 Question 1
The Slope of the tangent to the curve y=3x2-5x+6 at (1,4) is
(A) -2 (B) 1 (C) 0 (D) -1 (E) 2
The slope of a curve of the form y = f(x) at the point (x1,y1) is the derivative of y at (x1,y1).
Here, y = f(x) = 3x2-5x+6
and (x1,y1) = (1,4)
slope = dy/dx = 6x-5
Therefore, at the given point (1,4), slope = 6.(1) – 5 = 1
Hence, the answer is (B).