Function x*tanx

Functions:

f(x)=xtanx
f(x)=(e^x)/((e^x)+1)

Find;
i)vertical and horizontal asymptotes
iii)the interval of decrease and increase
iii)Local maxima and local minima
iv)interval of concavity and inflection.
And sketch the graph.

Correct answer:

min =  0

Step-by-step explanation:

$$\begin{gathered} f=x\cdot \tan x \\ {f}^{\prime }=\tan x+x/{\cos }^2(x) \\ {f}^{\prime }=\sin x/\cos x+x/{\cos }^2(x) \\ {f}^{\prime }=\frac{\sin x+x/\cos x}{\cos x} \\ {f}^{\prime }=\frac{\sin x+x/\cos x}{\cos x} \\ min=0 \end{gathered}$$

Try another example