If y = (tan - 1 x)2, show that (x2 + 1)2

Given; y = (tan - 1 x)2Hence Shown

Q19 of 45 Page 1

If y = (tan ^{- 1} x)², show that (x² + 1)²

Given; y = (tan ^{- 1} x)²

Hence Shown

Evaluate:

Find the point on the curve y = x³ - 11x + 5 at which the equation of tangent is y = x - 11.

Using differentials, find the approximate value of √49.5.

Using properties of determinants, prove that

Prove that

tan^-1 ( cosx/1+sinx ) = pi /4 - x/2 , x in ( - pi /2 , pi /2 )

Prove that:

sin^-1 ( 8/17 ) + sin^-1 ( 3/5 ) = cos^-1 ( 36/85 )