PLEASE ANSWER ALL QUESTIONS AND MAKE WRITING CLEAR

If f (x) = sin x , what is f (x)? of'(x) = -4x3 sin x4 of' (x) = 4x3 sinx of' (x) = 4x3 cosx4 of'(x) = -4x' cosxif (x) = e2x [sin(x)]2 , what isf' (x)? of' (x) = 2e2* [sin(x)]2 - 2e2x cos(x) sin(x) of' (x) = e2*[sin(x)]2 + 2e2*[cos(2x)]2 of' (x) = e2x [sin(x)12 - 2e2* [cos(2x)] of' (x) = 2e2* [sin(x)]2 + 2e2x cos(x) sin(x)dy If 4x2 + 92 = 36, what is ? dx dy 4x2 O dx 9v2 dy 4x O dx 9y dy 4x-2 O dx 9v2 dy 4x O dx gyIfyz - 3xy = x - 5, what is dy ? dx dy 1+3y O dx 2y-3x 1+3y O dy dx 2y O dy 1-3y d.x 2y-3x O dy 1+3y = dx 3x\f\fIf f (x) = , and g(x) = f-(x), what is the slope of the curve g(x) = f- (x) at the point (5, 1)? 0 8'(5) = 10 o g' (5) = - o g' (5) = -10 o g'(5) = 1\f\fIf f (x) = 3:3 tan' ' (2.x). what is f '(x) :2 .3 o for) = 13:41: 3x2tan'lx o for) = Iii: + 3x2tan'l2x .3 a for) = 13412 x2tan'12x .3 o for) = 13412 + 3x2tan'l2x