Find an equation of the tangent to C at the point where x=.
Trang 1Created by T Madas
2
y= x − x−
a) Find the gradient at the point on C , where x= 2
The point P lies on C and the gradient at that point is 2
b) Find the coordinates of P
4 , (3, 5)
Trang 2Created by T Madas
f x x
x
= + , x≠ 0
a) Find the gradient at the point on C , where 1
2
x=
The point A lies on C and the gradient at that point is 3
4
b) Find the possible coordinates of A
3
− , ( )2,5 or ( 2, 5)
Trang 3Created by T Madas
3 2
y=x −x − x+ Find the x coordinates of the points on C with gradient 3
4 ,2 3
x= −
Question 6
The curve C has equation
y=x − x − x+
Find an equation of the tangent to C at the point where x= 2
y= x−