Bài tập Toán DIFFERENTIATION 13

Created by T. Madas

DIFFERENTIATION
PRACTICE
IN CONTEXT

Created by T. Madas


Created by T. Madas
Question 1
The curve C has equation

f ( x ) = 3x 2 − 8 x + 2 .

a) Find the gradient at the point on C , where x = −1 .
The point A lies on C and the gradient at that point is 4 .

b) Find the coordinates of A .
−14 , A ( 2, −2 )

Created by T. Madas


Created by T. Madas
Question 2
The curve C has equation

y = x3 − 11x + 1 .
a) Find the gradient at the point on C , where x = 3 .
The point P lies on C and the gradient at that point is 1.

b) Find the possible coordinates of P .
16 , P ( 2, −13) or P ( −2,15 )

Created by T. Madas