8.3.6 Parametric differentiation
A.^12 e−t,−^14 e−^3 t
B.(i) −cott,−1
3cosec^2 t (ii)1
t,−1
2 t^3
(iii)1
sint+cost,e−t(sint−cost)
(sint+cost)^3(iv) cotht,−1
2cosech^3 t8.3.7 Higher order derivatives
A.(i) 2 (ii) ex
2
( 4 x^2 + 2 ) (iii) 2excosx(iv)6
(x+ 2 )^3−4
(x+ 1 )^3
B.(i) 0 (ii) ex−^1 (iii) 3^20 e^3 x(iv)20!
(x− 1 )^21(v)1
320!
(x− 1 )^21+2
320!
(x+ 2 )^21