the point P(1,0.5) lies on the curve y= x/(1+x)
a) if Q is the point (x, x/(1+x/)), use the calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values
(i) 0.5 (ii) 0.9 (iii) 0.99 (iv) )0.999 (v) 1.5 (vi) 1.1
(vii) 1.01 (viii) 1.001

b) using the result of part (a), guess the value of slope of the tangent line to the curve at P (1, 0.5)

c) using the slope from part (b) find an equation of the tangent line to the curve at p (1, 0.5)

Question

the point  P(1,0.5)  lies on the curve  y= x/(1+x)
a) if Q is the point (x, x/(1+x/)), use the calculator to find the slope of the secant line PQ (correct to six decimal places) for the following values
(i) 0.5  (ii) 0.9  (iii) 0.99  (iv) )0.999  (v) 1.5  (vi) 1.1
(vii) 1.01  (viii) 1.001

b) using the result of part (a), guess the value of slope of the tangent line to the curve at P (1, 0.5)

c) using the slope from part (b) find an equation of the tangent line to the curve at p (1, 0.5)