Compute `d/(dx)(1/(ax^2+bx+c))`

Compute d/(dx) (sin^n(ax^2 + bx +c)), n in N .

Compute d/(dx)(sin^-1(sinx)) when pi/2 le x le (3pi)/2

d/dx(1/3x^)

Find d/(dx)(1/(sqrt(1-x^2))

Compute d/(dx){sin^-1((1)/(sqrt(x+1)))}

Solve the differentiate equation (dy)/(dx)=1/(1+x^(2)),y(0)=3 .

d/(dx) (sin^(-1) x/a)

For the following differentiation results, write down the corresponding results in integrations: d/(dx)(tan^-1x)=1/(1+x^2)

Find d/(dx)(e^(sqrt(1+x^2)))

d/(dx)((x-1)/x) is equal to: