If y = 
acos1
x
e
−
, – 1 ≤ x ≤ 1, show that (
)
2
2
2
2
1
0
d y
dy
x
x
a y
dx
dx
−
−
−
= Rationalised 2023-24
 MATHEMATICS
146
Summary
® A real valued function is continuous at a point in its domain if the limit of the
function at that point equals the value of the function at that point A function
is continuous if it is continuous on the whole of its domain ® Sum, difference, product and quotient of continuous functions are continuous