Find `d/dx(cos^2(x/2)-sin^2(x/2))`

(d)/(dx)sin2x is Select one: a. 1 b. cos^(2)x-sin^(2)x C. cos^(2)x+sin^(2)x d. 2(cos^(2)x-sin^(2)x)

(d)/(dx)cos^(-1)(sin x)=

Differentiate the following : (iii) cos^(2)x sin x^(2)

(d)/(dx)(sin^(2)x+cos^(2)x) =

Differentiate cos x^(3),sin^(2)(x^(2))

(d)/(dx)[cos^(2)x(3-4cos^(2)x)^(2)]+(d)/(dx)[sin^(2)(3-4sin^(2)x)^(2)]=

If int sqrt(1+sec x)dx=2sin^(-1)[sqrt(2)f(x)]+c then (d)/(dx)[f(x)] is equal to (A)cos(x)/(2)(B)-(1)/(2)cos(x)/(2)(C)(1)/(2)cos(x)/(2)(D)(1)/(2)sin(x)/(2)

Let (d)/(dx)(f(x))=((sin^(12)x-cos^(12)x)/((sin^(2)x-cos^(2)x)(1-3sin^(2)x cos^(2)x))) be such that f(0)=0 then f((pi)/(2)) equals (k pi)/(16). Find the value of k(k in N)

(d)/(dx)[3(sin^(2)x+cos^(2)x)]=

d/(dx)[cos(1-x^2)^2]=