Question

a function will have maximum value at x=c if second derivative of f(c) changes sign from a.positive to negative b, negative to positive

Answer 1

a function will have maximum when slope changes from positive to negative

Answer 2

if the second derivative is positive the function is concave up, if the second derivative is negative the function is concave down. Id the second derivative changes sign there a point of inflection

Answer 3

why

Answer 4

you can see the graph above.....from positive slope to negative you'll have maximum value

Answer 5

if f'' is positive then f' is increasing and the other way round

Answer 6

and from negative to positive it's minimum

Answer 7

I think in your question you have got f'and f'' mixed up

Answer 8

slope is derivative

Answer 9

thnx alot