y=5i^(n)+1[(6x-4]1-4x^(2))/(5)

Find (dy)/(dx) if y=sin^(-1)[(6x-4sqrt(1-4x^(2)))/(5)]

Find dy/dx if y = sin^-1[(6x-4sqrt(1-4x^2))/5]

lim_ (x rarr oo) (3x ^ (- 1) + 4x ^ (- 2)) / (5x ^ (- 1) + 6x ^ (- 2))

Simplify: (x-y)(x+y)x^(2)+y^(2))(x^(4)+y^(5))2x-1)(2x+1)(4x^(2)+1)(16x^(4)+1)(7m-8n)^(2)+(7m+8n)^(2)

int_(0)^(1)(x^(6)-4x^(5)+5x^(4)-4x^(2))dx

Find the equations of the tangent and normal to the given curves at the indicated points : (i) y=x^(4)-6x+13x^(2)-10x+5" at "(0, 5) (ii) y=x^(4)-6x^(3)+13x^(2)-10x+5" at "(1, 3) . (iii) y= x^(3)" at " (1, 1) (iv) y=x^(2)" at " (1, 1) (v) x =cost, y = sin t" at "y=(pi)/(4) .

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))

Find (dy)/(dx) for the following : (i) y=x^(7//2) (ii) y=x^(-3) (iii) y=x (iv) y=x^(5)+x^(3)+4x^(1//2)+7 (v) y=5x^(4)+6x^(3//2)+9x (vi) y=ax^(2)+bx+C (Vii) y=3x^(5)-3x-1/x

Find (dy)/(dx) for the following : (i) y=x^(7//2) (ii) y=x^(-3) (iii) y=x (iv) y=x^(5)+x^(3)+4x^(1//2)+7 (v) y=5x^(4)+6x^(3//2)+9x (vi) y=ax^(2)+bx+C (Vii) y=3x^(5)-3x-1/x