Question

Find the derivative

Answer 1

Find f'(4)

Answer 2

@ganeshie8

Answer 3

@thomaster

Answer 4

@Yttrium @Jack1 any ideas? i tried getting the slope and that did'nt work

Answer 5

have an idea...maybe...
derivative of a line is the instantaneous gradient at that point
so at x=4, gradient = 1.2 = 0.5

Answer 6

sorry that was 1/2 not 1.2

Answer 7

it is correct but how did you get that?

Answer 8

gradient = y2 -y1/ x2-x1

Answer 9

yeah i understand that..but what are the points

Answer 10

gradient also = f'(x)

Answer 11

I think the hardest part was finding the points to plug in for the x and y because they werent exact more like decimals

Answer 12

so y2 = 2
y1 = 1
x2 = 5
x1 = 3

Answer 13

you can see that , between x = 3 and x = 5, the line is going 1 grid up as u move 2 grids right

Answer 14

u can write the equation within that interval for that line as :-

\(\large f(x) = \frac{1}{2}x + k\)