" 5.(i) "4x^(3)+3*2^(x)+6*root(8)(x^(-4))+5cot x

(i) 4x^(3) + 3.2^(x) + 6.root8(x^(-4)) + 5 cot x (ii) x/3 -3/x +sqrtx - 1/sqrtx + x^(2) -2^(x) +6x^(-2//3) -2/3 x^(6)

Find the value of x in each of the following . (i) root5(5x + 2) = 2 (ii) root3(3x - 2) =4 (iii) ((3)/(4))^(3)((4)/(3))^(-7)= ((3)/(4))^(2x) (iv) 5^(x-3) xx 3^(2x -8) = 225 (v) (3^(3x) . 3^(2x))/(3^(x)) = root4(3^(20))

Evaluate lim_(x to sqrt(3)) (3x^(8) + x^(7) - 11x^(6) - 2x^(5) 9x^(4) - x^(3) + 35x^(2) + 6x + 30)/(x^(5) - 2x^(4) + 4x^(2) - 9x + 6)

Evaluate lim_(x to sqrt(3)) (3x^(8) + x^(7) - 11x^(6) - 2x^(5) - 9x^(4) - x^(3) + 35x^(2) + 6x + 30)/(x^(5) - 2x^(4) + 4x^(2) - 9x + 6)

Find the derivative of i) 2x-3/4 ii) (5x^(3)+3x-1)(x-1) iii) x^(-3)(5+3x) iv) x^(5)(3-6x^(-9)) v) x^(-4)(3-4x^(-5))

root(5)(x^(8).sqrt(x^(6).sqrt(x^(-4))

Evaluate the following integrals. (i) 12/((4x - 5)^3) + 6/(3x + 2) + 16 e^(4x + 3) (ii) 15/(sqrt(5x - 4)) - 8 cot (4x + 2) "cosec" (4x + 2) .

Simplify root(5)(x^(4)root(4)(x^(3)root(3)(x^(2)sqrt(x))))