Please help with the following questions:

(d) (AP.) 6. Tie functiul f is by for all real x. (a) f and f Determirr whetlrr f has a maximum, a Kral minimum, neith at x Give a yc-nrr (b) With than (c) Show y _f(x) is a solution to the differeNial equatim a-y" + y COS X. 6. Maclaurin serks is e" I . ftnctioa f is (a) Write first the I. (b) tie Taybr series in pat (a) wrie first tmzero tie peral Taybt seris for f atXR1t x l. (c) ratio tesl to inerval ofcmvergence tte Taykr in pan (d) f I to of f has any of