[" 0.3If "x=4-sqrt(15)" ,then the value of "(x+(1)/(x))],[[" (i) "6," (ii) "7," (iii) "8," (iv) "0]]

Find the derivative of (i) 8x^(3) , (ii) 6sqrt(x) , (iii) 5e^(x) , (iv) 9 xx 2^(x)

If x is a real, then the maximum value (x^2+14x+9)/(x^2+2x+3) (i)2 (ii)4 (iii)6 (iv) 8

If x is a real,then the maximum value (x^(2)+14x+9)/(x^(2)+2x+3)(i)2(ii)4(iii)6(iv)8

If one of the root of the equation 4x^(2)-15x+4p=0 is the square of the other then the value of p is (i) (125)/(64)( ii) -(27)/(8) (iii) -(125)/(8)( iv) (27)/(8)

the maximum value of f(x)=x/(4+x+x^2) on [-1,1] is (i) -1/4 (ii)-1/3 (iii)1/6 (iv)1/b

If a line joining the points (-2,6) and (4,8) is perpendicular to the line joining the points (8,12) and (x,24), then the value of x is (i) 3 (ii) 4 (iii) -4 (iv) 2

if x varepsilon R then the value of -7x^(2)+8x-9 (i) zero (ii) positive (iii) negative (iv) not determined

Find the derivatives of (i) x^(9) , (ii) x^(-3) , (iii) 3sqrt(x) , (iv) 1/(sqrt(x))

The range of f(x)=sin^(-1)x+sqrt(x) is (i) R(ii)(0,oo)(iii)(0,1) (iv) none of these

In the expansion of (sqrt(x^5)+3/(sqrt(x^3)))^6 coefficient of x^3 is (i) 0 (ii) 120 (iii) 420 (iv) 540