(5x-1)/(x^(2)+3)<1

If y=(5x)/((1-x^(2))^((1)/(3)))+sin^(2)(2x+3) Find (dy)/(dx)

lim_(x rarr0)((1+5x)/(1+3x^(2)))^((1)/(x^(2)))

Find (dy)/(dx) if y=((5x-1)^(2/3)(2x-5)^(3/5))/((x-1)^(1/3)(3x-2)^3)

lim_ (x rarr oo) (2x ^ (5) sin ((1) / (x ^ (2))) + 3x ^ (2)) / (1 + 3x ^ (3)) =

Find the LCM and HCF of the following polynomials 36(x +2)^(2) (x-1)^(3) (x +3)^(5), 45 (x +2)^(5) (x -1)^(2) (x +3)^(5) and 63 (x -1)^(5) (x +2)^(5) (x +3)^(4)

int(5x-1)/(3x^2+x+2)dx=

If 5x - (1)/(2x) = 3 , then find 25x^(2) + (1)/(4x^(2)) .

Interval containing the value of the integral int_(1)^(5)(x-1)(x-2)(x-3)(x-4)(x-5)dx is

f(x)={{:((1)/(5)(2x^(2)+3)",","for",-inftyltxle1),(6-5x",","for",1ltxlt3),(x-2",","for",3lexltoo):}," then f is - "