Match the graphs of the three functions below with the graph

Match the graphs of the three functions below with the graphs of their derivatives.

Solution

function f starts with going up that is positive then it starts going down that is negative and then again it goes up

so the derivative of function f must have positive y values first then going down means negative y values and then again going up is positive y values

function f derivative is option c

ii) function g starts going up then its starts going down

so derivative has first positive y values and then negative y values

g matches with option a

iii) function h starts with 0 then goes up and remains there

that is derivative must have positive y values

h matches with option b