Find the point of discontinuing of the given function: 2 Marks
f (x) = 3x + 1
X2-7x+12

Find dx at (-5,6) if x2 + y2 =0 2 Marks
dy

Determine whether lim 1 – cos |x| exists or not? 3 Marks
x−>0 x


if f '(t)= 2t then find the intervals on which the function f(t) increasing and decreasing? 3 Marks

Use an epsilon-delta argument to prove that 5 Marks
lim (3x + 5) = 35
x−>0

if f(x) = x -5x+6 then find the intervals where the function is concave up and concave down. 5 Marks
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