Find `d/(dx)((sinx)/x)`.

Find d/(dx)((8^x)/(x^8))

Find d/(dx) (sin (cosx) + cos (sinx))

Write the following results in the integral form: d/(dx)(e^(sinx))=e^sinx cosx

If f(x) = 1 - x , find (d/dx)(fof)(x)

Let d/(dx)F(x)=(e^(sinx))/x . x lt0 . If int_(1)^(4)(2e^(sinx^(2)))/xdx=F(k)-F(1) then find the possible value of k .

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

Compute d/(dx) (log_(e) |sinx|), - pi/2 < x < pi/2

Solve the differential equation: y+d(xy)/(dx)=x(sinx+logx)

Differentiate the following functions: (sinx)/(1+cosx) w.r.t. x/2

Differentiate the following w.r.t.x. log sqrt((1 + sin x)/(1 - sinx))