y = x + tan x, ⇒ tan x = y-x…. (i)Differentiating with respect to xDifferentiating with respect to x⇒ ⇒ ⇒ [putting value of tan x from (i) ]⇒ ⇒

Q3 of 285 Page 449

If

y = x + tan x, ⇒ tan x = y-x…. (i)

Differentiating with respect to x

⇒

⇒ [putting value of tan x from (i) ]

⇒

Find the second derivate of :

(i) x¹¹ (ii) 5^x

(iii) tan x (iv) cos^-1x

Find the second derivative of:

(i) x sin x

(ii) e^2x cos 3x

(iii) x³ log x