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

Answer

(B) 1

Explanation

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).