What would the second derivative of the graph attached inside look like?

Please explain :) thank youu!!

Question

What would the second derivative of the graph attached inside look like? 

Please explain :) thank youu!!

anonymous · Answer

graph!!

ganeshie8 · Answer

trick question :)

ganeshie8 · Answer

since the line is straight, it has a constant slope

anonymous · Answer

really? how?! :o

ganeshie8 · Answer

whats the equation of a straight line ?

ganeshie8 · Answer

y = mx + b right ?

ganeshie8 · Answer

where, m and b are constants
m = slope

anonymous · Answer

yes:)

ganeshie8 · Answer

next, whats the relation between 'first derivative' and 'slope' ?

agent0smith · Answer

what's the derivative of y = c, when c is a constant?

anonymous · Answer

the first derivative is the slope?

anonymous · Answer

@agent0smith  not sure :/

ganeshie8 · Answer

yup !

next answering agent's question gives u the final answer !

agent0smith · Answer

well we know the first derivative of y = mx + b will be... y' = m, right?


what's the derivative of y' = m? think if y = 2, what's the derivative?

big hint: derivative of a constant is zero.

anonymous · Answer

yay!! but im not sure how to find that :(

agent0smith · Answer

er find what...

anonymous · Answer

oh it posted kinda late haha but i didn't see your explanation! so y=0?

agent0smith · Answer

y'' = 0, yes (it's second derivative remember)

anonymous · Answer

ahh yeah y"=0...

so would that mean theres no second derivative?

agent0smith · Answer

^there is. you just wrote it.

There's also a third, fourth, fifth... nth derivative. They're all = 0

anonymous · Answer

ohh hhaa  :p awesome! thank you!!