Question

Find the tangent line to the curve y = root x at x = 4
(1) y = x/4+1 (2) y = 3x-2
(3) y = 5x+7 (4) y = 4x+8 *​

Answer 1

Answer:

(1)

Explanation:

y = x^1/2

dy/dx = 0.5x^-1/2 = 0.5/ √x = 0.5/√4 = 0.25

at x = 4 , y = 2 , the line passes through the point ( 4,2)

y - 2 = 0.25 ( x -4 ) = 0.25x - 1

y = 0.25x + 1

answer (1)