Question

Help!!! Find the equation of y, given the derivative and the indicated point on the curve?
dy/dx = 2(x-1), point (3, 2)

Answer 1

first expand the equation into 2x-2.

Now integrate it with respect to x, you should end up with:

x^2-2x+C where C is a constant

Answer 2

we need to make sure the copy and paste didnt eat an exponent marker

Answer 3

dy/dx=2(x-1)
dy=2(x-1)dx
integrate this.
integration will give you a function(F(x)) of x and a constant
y= F(x) + C
so put the point in the place of X and Y and get your C
do it

Answer 4

Now substitute the point (3,2) into it

2=(3)^2-2(3)+C and solve for C

Then you should arrive at your final equation

Answer 5

Where should I substitute the point (3, 2)?

Answer 6

Oh! I think I got it! Thank you so much!

Answer 7

So, should it be y = x^2 - x -1?