f x x2 then f x the tangent to the graph of f through th
f (x) = x^2 then f \' (x) = ? the tangent to the graph of f through the point (1,1) has the slope .......? and the y-intercept ........? it intercepts with the x-axis at x = ?
Solution
f(x)= x^2
f\'(x)= 2x
at(1,1)
slope =2 x= 2
so, equation of tangent is
y-1 = 2(x-1)
=> y= 2x-1
so, y-intercept is -1
put y=0 => x=0.5
=> x-intercept = 0.5
meets x-axis at (0.5,0)
