ap-calculus-ab 1999 Q5

ap-calculus-ab · USA · free-response_formB Stationary points and optimisation Find critical points and classify extrema of a given function
Given the function defined by $\mathrm { y } = \mathrm { e } ^ { \sin \mathrm { x } }$ for all x such that $- \pi \leqq \mathrm { x } \leqq 2 \pi$. (a) Find the x - and y -coordinates of all maximum and minimum points on the given interval. Justify your answe (b) On the axes provided, sketch the graph of the function. (c) Write an equation for the axis of symmetry of the graph.
The graph of the function $f$, consisting of three line segments, is given above. Let $g ( x ) = \int _ { 1 } ^ { x } f ( t ) d t$. 
Given the function defined by $\mathrm { y } = \mathrm { e } ^ { \sin \mathrm { x } }$ for all x such that $- \pi \leqq \mathrm { x } \leqq 2 \pi$.
(a) Find the x - and y -coordinates of all maximum and minimum points on the given interval. Justify your answe
(b) On the axes provided, sketch the graph of the function.
(c) Write an equation for the axis of symmetry of the graph.
Paper Questions
Q1 Q2 Q3 Q4 Q5 Q6 Q7