Question

The function in the figure attached inside has f(4)=22 and f ' (4)=1.7. Find the coordinates of the points A,B, and C.

:/how do i do this?? thank you1!

Answer 1

the figure!

Answer 2

A(4 , 2.2)
B(4.2 , 22.34)
C(3.9 , 21.83)

first find an equation for the line
y-y1 = m (x-x1)

m is the slope, which is given by the derivative at x=4, which is 1.7

y1 is any y-point passes through the line, and we have its abscissa , for example y1=4 and its abscissa is x=22 (both given)

now plug these values and solve for y, so that y = 1.7x+15.2
right after, you find each value of y, by plugging x in the equation.

Answer 3

ohh i see okay, thank you!!!:)

Answer 4

oh but shoulddn't A, be a higher number for the y value?

Answer 5

A(4 , 22)

sorry for that mistake

Answer 6

no worries:)

do you get this one?

The function has f(5)=34 and f ' (5)=3.2. Find the coordinates of the points A,B, and C.

what do you think of this one?

Answer 7

@ali_rami1990 :)

Answer 8

A(5 , 34)
B(5.2 , 34.64)
C(4.9 , 33.68)

Answer 9

is it the same process? using y-y1=m(x-x1) right?

Answer 10

True

Answer 11

yay! thank you!!

Answer 12

You're welcome !