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2. Derivatives - 3 Questions

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Last updated almost 5 years ago
8 questions
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QUESTION 1
Question 1
1.

Consider the curve
(a) Find dy/dx

Question 2
2.

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

(b) Find the value of a.

QUESTION 2
Question 3
3.

(a) Expand the expression

Question 4
4.

(b) Differentiate

Question 5
5.

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

QUESTION 3
Question 6
6.

(a) Find f'(x)

Question 7
7.

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

(i) the local maximum point;

Question 8
8.

(ii) the local minimum point