If y = 500e7x + 600e–7x, show that 
2
2
49
d y
y
dx
=
16 If ey
 (x + 1) = 1, show that 
2
2
2
d y
dy
dx
dx


= 



17 If y = (tan–1 x)2, show that (x2 + 1)2 y2 + 2x (x2 + 1) y1 = 2
Miscellaneous Examples
Example 39 Differentiate w r