Question

Sketch the graph of the function tan x between 0 and $\frac{\pi}{4}$

Answer 1

we have to plot the graph of function , f(x) = tanx between 0 to π/4

first of all, differentiate f(x) wrt x

f'(x) = sec²x > 0 for all x belongs to real numbers .
we know, any function, f(x) is strictly increasing only when f'(x) >0

hence, graph of f(x) = tanx is strictly increasing.

see below figure, here it is clearly shown the graph of tanx between 0 to π/4 .