Iff (X) = sin(X) COS(X), what is f ' (X)? o f'(X) = cos(x) sin(x) O f '(X) = (30800 + sin(x) O f '(X) = cos(x) + sin(x) O f '(X) = COS(X) sin(X) If y = f(X), write f "(X) in Leibniz notation. Enter the answer in the box. E If y = g(p), write g" (p) in Leibniz notation. Enter the answer in the box. E If y = y(t), write y, in Leibniz notation. Enter the answer in the box. E Ifg(x) = 2x, then which statement is true? o g(x) = dg(x) dx of'( x ) = dg(t) dt o g' (t) = df (x) dx o g'(x) = dg(x) dx Iff (x) = x + sin(X), what isf (X )? of"(x) = -2 + sin(x) of"(x) = 2+ sin(x) of"(x) = 2 - sin(x) of"(x) = -2+ cos(x) Which statement is true? 0 If f(x) is increasing, and f "(x) is positive, then f '(x) is positive and f is concave down. 0 If f(x) is increasing, and f "(x) is positive, then f '(x) is negative and t is concave up. 0 It f(x) is increasing, and f "(x) is positive, then f '(x) is positive and f is concave down. 0 If f(x) is increasing, and f "(x) is positive, then f '(x) is positive and f is concave up