compute the derivative of the following function

(1-e)Y = logbase5(sin(x))-(1/2)sin^2(x)

(1-f)Y = arcsec(x^(2)+1) / (2x+1)^(3)(3x-1)^(3)

(1-h)Y= e^cos(x)+cos(e^(2))

(1-J)Y= sqrt(x+1)*(2-x)^(5) / (x+3)^(7)

(1-M)Y= sin^(2)(cos(sin(x^(2)))

Find an Equation of the tangent line to the curve at the given point P.

(3-a)Y= sqrt(1+4sin(x)) at P(0,1)

Finding the critical point of f

(9b)F(x) = x^(2/3) / X+1

Finding the absolute maximum and minimum

F(x) = sin(x)cos(x) on [0, pi/2]