" (vii) "y=3x^(5)-3x-(1)/(x)

Find (dy)/(dx) for the following : y=3x^(5)-3x-1/x

Find each of the following products: (i) (x + 3) (x - 3) (ii) (2x + 5)(2x - 5) (ii) (8 + x)(8 - x) (iv) (7x + 11y) (7x - 11y) (v) (5x^(2) + (3)/(4) y^(2)) (5x^(2) - (3)/(4) y^(2)) (vi) ((4x)/(5) - (5y)/(3)) ((4x)/(5) + (5y)/(3)) (vii) (x + (1)/(x)) (x - (1)/(x)) (viii) ((1)/(x) + (1)/(y)) ((1)/(x) - (1)/(y)) (ix) (2a + (3)/(b)) (2a - (3)/(b))

If y= f(x) =(3x-1)/(5x-3) , prove that f(y) =x.

Find each of the following products: (i) (x - 4)(x - 4) (ii) (2x - 3y)(2x - 3y) (iii) ((3)/(4) x - (5)/(6) y) ((3)/(4)x - (5)/(6) y) (iv) (x - (3)/(x)) (x - (3)/(x)) (v) ((1)/(3) x^(2) - 9) ((1)/(3) x^(2) - 9) (vi) ((1)/(2) y^(2) - (1)/(3) y) ((1)/(2) y^(2) - (1)/(3) y)

If (3x-5y)/(3x+5y) = 1/2 . Then find the value of (3x^(2)-5y^(2))/(3x^(2) + 5y^(2)) .

Find the following products: (6x)/5(x^3+y^3) (ii) x y(x^3-y^3) (iii) 0. 1 y(0. 1 x^5+0. 1 y)

Solve the following system of equations: (2)/(3x+2y)+(3)/(3x-2y)=(17)/(5),quad (5)/(3x+2y)+(1)/(3x-2y)=2

(1) y = ae^(4x) -be^(-3x) +c (2) xy = ae^(5x) +be^(-5x)