`(2x+frac{1}{3y})-(2x-frac{1}{3y})`

\lim _{x\to 0}(\frac{1}{e^x-1}-\frac{1}{x}\)

frac{dP}{dx} = frac{d}{dx} (x^3) (frac{7-2x}{3})^(4)

3frac{1}{13}+1frac{4}{13}+2frac{3}{13}

If z(x+y)= x^2 +y^2 show that (frac{delz}{delx}-frac{del z}{del y})^2 = 4 (1- frac{delz}{delx}+frac{delz}{dely})

x frac{dy}{dx} = y - xcos^2 frac{y}{x}

Simplify the following 3frac{1}{7}-{1/6 xx (4div 3frac{1}{2}-7)}

solve the equations: frac{2}{sqrt x} + frac{3}{sqrt y} =2 and frac{4}{sqrt x} - frac{9}{sqrt y} =-1

dy/dx + frac{1-2x}{x^2} y = 1

dy/dx = frac{2x+y}{x}

Evaluate the following integrals: int frac{2x-1}{(x-1)(x+2)(x-3)}dx