6 Calculus questions

\fWhat is the derivative of the function? 3 f (x ) = - 5 sin(x) 3 Of (x) = - - 5 cos r T2 of (x) =-2 5 sin r of (x) = - + 5 cos I Of (x) = -- - 5 COSTFind the equation of the tangent line to y = 5x'- 2x + 13 at x = -1 Oy= -19x + 25 Oy = 19r + 25 Oy = 19x - 25 Oy= -19x - 25For the graph of f (3)011 the interval (5, 5], at what value oft will f [I] = I} '? Find if f(x) = cos(x) Of(4) (x) = COS I Of(4) (x) = - COST Of(4) (x) = sin c Of(4) (x) = - sincExplain why the IVT dnea NOT guarantee a C value on the given interval. .1: f(x) = _ ; Ice) =1 ; [032] x 1 C) It is not true that, u} a: 1