1. ## Calculus Derivative problems

Hi

1] f ( x) =e^x cos x (0 <= x <= 2 pi)
sketch the graph of the function over the specified interval by obtaining the following info.

a) the intervals where f is increasing and where it is decreasing
b) the relative extrema of f
c) the concavity of f
d)the inflection points of f

2] find an equation of the tangent line to the graph of the function
f (x ) = e^secx at the point (pi/4, e^ squared root of 2)

3] determine the intervals where the function f (X ) e^x cos x (0 <= x <= 2 pi)

ty

2. She doesn't know how take a derivative? Use product rule

$(du)(v)+(dv)(u)$

$f'(x) = e^xcos(x)~-~sin(x)e^x$

3. ## ty

thanks for the help.

4. B) set the 1st derivative to 0 and test the critical points between $0 \leq{x} \leq2 \pi$
C) use 2nd derivative test
D) set 2nd derivative to 0 and test