f(x)=|[sin x,cos x,tan x],[x^(3),x^(2),x],[2x,1,1]|

If f(x)=det[[sin x,cos x,tan xx^(3),x^(2),x2x,1,1]] then show that lim_(x rarr0)(f(x))/(x^(2))=1

If f(x) = |(sin x, cos x , tan x),(x^3, x^2 ,x),(2x, 1,x)| then Lim_(x to 0) (f(x))/(x^2) equals

" If "f(x)=|[x,sin x,cos x],[x^(2),tan x,-x^(3)],[2x,sin2x,5x]|" ,then "lim_(x rarr0)(f'(x))/(x)=

If f (x) = |{:( sin x , cos x , tan x) , (x^(3) , x^(2) , x) , (2x , 1 , x):}| , then Lt_(x to 0) (f(x))/(x^(2))=

Let f(x)=sin x+cos x+tan x+sin^(-1)x+cos^(-1)x+tan^(-1)x Then find the maximum and minimum values of f(x)

If f (x)= |{:(x cos x, 2x sin x, x tan x),(1,x,1),(1,2x,1):}|, find lim _(xto0) (f(x))/(x ^(2)).

f(x)=|{:(cos x, x, 1),(2sin x, x^(2), 2x),(tan x, x, 1):}|." Then find the vlue of lim_(x to 0) (f'(x))/(x).

If f(x)=[[1+sin^2x,cos^2x,4sin2x],[sin^2x,1+cos^2x,4sin2x],[sin^2x,cos^2x,1+4sin2x]] what is the maximum value of f(x).

If f(x) = |(1+sin^(2)x,cos^(2)x,4 sin 2x),(sin^(2)x,1+cos^(2)x,4 sin 2x),(sin^(2)x,cos^(2)x,1+4 sin 2x)| What is the maximum value of f(x)?