(sqrt(3x-5)-(1)/(sqrt(3x-5)))^(5)

If P(x)=1/(sqrt(3x+1))[((1+sqrt(3x+1))/5)^(n)-((1-sqrt(3x+1))/5)^(n)] is a 5th degree polynomial, then value of n is

Using componendo and dividendo, find the value of x if (sqrt(3x+4)+sqrt(3x-5))/(sqrt(3x+4)-sqrt(3x-5))=9 .

Differentiate the following function : (i) (x^(2) - 5x + 6)(x-3) , (ii) (sqrt(x) + 1/(sqrt(x)))^(2) , (iii) (3x^(2) + 2x + 5)/(sqrt(x))

(2)/(sqrt(3)+sqrt(5))+(5)/(sqrt(3)-sqrt(5))=x sqrt(3)+y sqrt(5)

Prove that: (sqrt(3x5^(-3))-:3^(-1)3sqrt(5))x3x5^(6)6=(3)/(5)

((sqrt(x))^((3)/(5))times(sqrt(x))^((2)/(5))+2sqrt(x))/(2(sqrt(x))^((2)/(3))times(sqrt(x))^((1)/(3))+sqrt(x))=

Let x=(2+sqrt(5))^((1)/(3))+(2-sqrt(5))^((1)/(3)),x^(3)+3x is equal to

Evaluate: ("Lim")_(x->4)(sqrt(2x+1)+sqrt(x-3)-4)/(sqrt((3x+4))+sqrt(5x+5)-9)

Find the derivatives of the following : G(x)=(sqrt(2)x^(3)+x^(5))(sqrt(3)x^(2)+1/5x^(5))

sqrt(5x-4)+sqrt(3x+1)<3