Please make sure that your answers should be correct and show all the steps of the solutions.

Q1)

(1 point) Differentiate f(t) = In(cost). f' (t)(1 point) Find dy by implicit differentiation when =1+y* 8 + sec(y) dy =(1 point) Find dy da2 by implicit differentiation when Ary + y' = 5 day(1 point) If f(x) = 10x (=), find f' (6). Answer:(1 point) Let f(x) = log, (3x - 2x + 10). Find f' (I). f' (I) =(1 point) Let f(x) = (x* +6) Find f'(x). f' (I) =(1 point) Let y(r) = sin(tan(5x)). Find dy/dr. dy/dx =[1 point} Find an equation of the tangent line to the curve 3; = $11133} + cesz) at the paint (g, y{%)]. Tangent line: H