Question

Find the intervals on which the function the inte 15) fox)-x2- 14x+ 13 n is increasing and the intervals on which the function is decreasin

Answer 1

To find oh en arunction is inceasing , you must first take the dexivative, ten set it egual to o, een wshich zexo values the tunction is positive Similarly g, y ou rust Hirst toke the desivative, then set itegual to o, and then tind between which zero volues the function is negative Now to dind when a function is decreas in differen tiating 1(X) with respec t to 、x' we get (f (x)) +孟(g(x)

we go /(x)= 2x-14 To find cri tical points eguate t'(x)=0 2 →intervals in which f(x) is increasing //decreasing )nd is given by 1(c) 2(6)-14 = 12-14-2 <0 e (-#0,7) and 4'(6) <0、e., neg at ive f(x) is de creasi ng in (- ⑦ => 、 e (1, and>o e, positive z)卓(x) is increasing in (7,00 s incxeasing in (1, o) is decreasing in 7