PLEASE ANSWER ALL QUESTIONS AND MAKE WRITING CLEAR

\fIf f (x) = sin x, which of the following is true? of' ( x ) = df (t) dt of' ( x ) = dy dx of' ( x ) = df (x) dx of' ( x ) = Ay AxWhich of the following is true? O If f(x) is decreasing and f "(x) is positive, then f '(x) is positive and f is concave up. O If f(x) is decreasing and f "(x) is positive, then f '(x) is negative and f is concave up. O If f(x) is decreasing and f "(x) is positive, then f '(x) is positive and f is concave down. O If f(x) is decreasing and f "(x) is positive, then f '(x) is negative and f is concave down.Which of the following is true\"? D If f '{x} is D. and f \"{x} is positive? then f [x] is increasing and f is concave up. D If f '(x) is D. and f \"{x) is positive? then f [x] is flat and f is concave down. (3 If f '(x) is D. and f \"{x) is positive? then f [x] is flat and f is concave up. C} If f '(x) is D. and f "{x) is positive? then f [x] is decreasing and f is concave up.