If cos^(-1)(4x^3-3x)=a+bcos^(-1)x" for "...

If `cos^(-1)(4x^3-3x)=a+bcos^(-1)x" for "-1 lt x lt -1/2,` then [a + b+ 4] is equal to {where [] denotes G.I.F}`

Verified by Experts

The correct Answer is:

2

Similar Questions

Explore conceptually related problems

If -1 lt x lt 0 , then cos^(-1) x is equal to

If f(x)=sin^(-1)x and lim_(xto1//2+)f(3x-4x^3)=a-3lim_(xto1//2+)f(x) , then [a] is equal to {where [] denotes G.I.F}

If y = cos^(-1) ((2x)/(1 + x^(2))), - 1 lt x lt 1 " then " (dy)/(dx) is equal to

If f(x)=cos^(-1)(4x^3-3x)and lim_(xto1//2+)f'(x)=a and lim_(xto1//2-)f'(x)=b then a + b+ 3 is equal to

3(1 - x ) lt 2 (x + 4)

If f(x)=sqrt(x-4sqrt(x-4))+tan^(-1)((1-2x)/(2+x)), AA 4 lt x lt 8 , then the value of f'(5) is equal to

Lt_(x rarr4^(+))(x^(2)-7x+12)/(x-[x]) =[ where [ ] denotes G.I.F.]