(2x+3)(3x+4)

Simplify: (2x+3y)(3x+4y)-(7x+3y)(x+2y)

Let f (x)=x+ (x ^(2))/(2 )+ (x ^(3))/(3 )+ (x ^(4))/(4 ) +(x ^(5))/(5) and let g (x) = f ^(-1) (x). Find g''(o).

Let f (x)=x+ (x ^(2))/(2 )+ (x ^(3))/(3 )+ (x ^(4))/(4 ) +(x ^(5))/(5) and let g (x) = f ^(-1) (x). Find g'''(o).

Evaluate : (i) (2x + 3y) ( 3x +4y)

Solve ((2x+3)(4-3x)^3(x-4))/((x-2)^2x^5)le0

Solve ((2x+3)(4-3x)^3(x-4))/((x-2)^2x^5)le0

Sovle x(x+2)^2(x-1)^5 (2x-3)(x-3)^4 ge 0

If y= 1+ x + (x^2)/( 2!) + (x^3)/( 3!) + (x^4)/(4!) +…. to oo , show that (dy)/( dx) = y .

If f(x)=(x^(2))/(1.2)-(x^(3))/(2.3)+(x^(4))/(3.4)-(x^(5))/(4.5)+..oo then

Simplify: (5-x)(3-2x)(4-3x)