### Home > CALC > Chapter 11 > Lesson 11.2.2 > Problem 11-59

11-59.

Thoroughly investigate the graph of *y* = *e ^{x} *cos

*x*on the interval [−1, 5]. Identify all important qualities, such as where the function is increasing, decreasing, concave up, and concave down. Also identify point(s) of inflection and intercepts and provide graphs of

*f*′(

*x*) and

*f*″(

*x*). Be sure to justify all statements both

*graphically*and

*analytically.*Homework Help ✎