4. Without using the formula to compute the derivative of y = arcsin (x)=sin 1 x , y = arctan (x) tan x, y = at, and y = logax , compute the derivative of the following functions.( you need to use inverse function property (f (f-1(x) ) = x, implicit differentiation, the properties of logarithms, and change of base theorem for logarithms: loga x = ") a. f (x) = sin-1(x3 + ex) b. f (x ) = tan-1 (Vx) c. f(x) = 5cosx d. f(x) = 10g5 () 3