" (ii) "(sin x+x^(2))/(cot2x)

y = ((sin x + x ^ (2)) / (cot2x))

Find (dy)/(dx), when y=(sin x+x^(2))/(cot2x)

Differentiate the following functions w.r.t.x : (sin x + x^2)/(cot 2x)

int(9sinx - 7 cosx - 6/(cos^(2)x) + 2/(sin^(2)x)+ cot^(2)x) dx

Find the slope of the tangent and normal to the following curve. (i) y = 2x^(2) + 3 sin x at x = 0 (ii) y = (sin 2x + cot x + 2)^(2) "at x" = (pi)/(2)

Find the slope of the tangent of the curve (i) y = (x^(3) -x) " at " x = 2 (ii) y = (2x^(2) + 3 sin x) " at " x = 0 (iii) y = (sin 2x + cot x + 2)^(2) " at " x = (pi)/(2)

Evaluate: (i) int(1-cos x)/(1+cos x)dx (ii) int{3sin x-4cos x+(5)/(cos^(2)x)-(6)/(sin^(2)x)+tan^(2)x-cot^(2)x}dx

lim_(x to 0)(x cot(4x))/(sin^(2) x cot^(2)(2x)) is equal to

Prove that (cos x)/(1+sin x)=(cot ((x)/(2))-1)/(cot((x)/(2))+1)

int e^(x)(1-sin x)/(1+sin x)=-e^(x)cot((x)/(2))+c