2. Derivatives - 3 Questions

Last updated almost 5 years ago
8 questions
QUESTION 1
3

Consider the curve
(a) Find dy/dx

3

The gradient of the tangent to the curve is -14 when x = 1.

(b) Find the value of a.

QUESTION 2
2

(a) Expand the expression

2

(b) Differentiate

2

Find the x-coordinate of the local minimum of the curve y = f(x)

QUESTION 3
3

(a) Find f'(x)

2

(b) Find using your answer to part (a) the x-coordinate of

(i) the local maximum point;

1

(ii) the local minimum point