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1. Derivatives - 3 Questions

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

Consider the curve

(a) find f'(x)

Question 2
2.

The curve has a tangent at the point P(-1, -2).

(b) Find the gradient of this tangent at point P.

Question 3
3.

(c) Find the equation of this tangent. give your answer in the form
y = mx + c

QUESTION 2
Question 4
4.

A funciton f is given by

(a) Write down the derivative of f.

Question 5
5.

(b) Find the point on the graph of f at which the gradient of the tangent is equal to 6.

QUESTION 3
Question 6
6.

The equation of a curve is
(a) Find dy/dx

Question 7
7.

The gradient of the tangent to the curve at a point P is -10.

(b) Find the coordinates of P.