In finding the derivative for the function, f(x) = cos(e^x) select the correct answers below. There may be multiple correct answers.
A. The derivative is -sin(e^x)
B. In finding the derivative the first rule used would be the chain rule.
C. In finding the derivative one would use the chain rule, trig rule, and exponential rule.
D. This function is differentiable everywhere from negative infinity to positive infinity.
E. The derivative as x goes to negative infinity is 0.
F. There is exactly one point of inflection for the function.
G. There are infinitely many maximum and minimum points on the graph.
I got C, E, & G. Does this look correct?
A. The derivative is -sin(e^x)
B. In finding the derivative the first rule used would be the chain rule.
C. In finding the derivative one would use the chain rule, trig rule, and exponential rule.
D. This function is differentiable everywhere from negative infinity to positive infinity.
E. The derivative as x goes to negative infinity is 0.
F. There is exactly one point of inflection for the function.
G. There are infinitely many maximum and minimum points on the graph.
I got C, E, & G. Does this look correct?