1.

निम्न फलनों का x के सापेक्ष अवकलन ज्ञात कीजिए| ` (i)" " tan ^(3) x ``(ii) " "(logx )^(3)` ` (iii) " " log (x+(1)/(2))` ` (iv)" "log (sec x +tan x )` ` (v) " " sin log (x ^(3) +1)`` (vi)" "log tan"" (x)/(2)` ` (vii)" "tan x^(3)` ` (viii)" " (x+ sqrt (x^(2) +1))^(3)`

Answer» Correct Answer - ` (i) 3tan ^(2) x sec ^(2) x " "(ii) (3)/(x) (log x ) ^(2) " "(iii) (x^(2)-1)/(x(x^(2)+1))" "(iv ) sec x " "(v) (3x^(2) )/(x^(3)+1)cos log(x^(3) +1)(vi) cosecx" "(3x^(2)sec^(2)x^(3))" "(viii) (3[x+sqrt(x^(2) +1)]^(3))/(sqrtx^(2)+1)`
(i ) माना ` tanx = t " "rArr sec^(2) xdx =dt `


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