1. Derivatives - 3 Questions

Last updated almost 5 years ago
7 questions
QUESTION 1
2

Consider the curve

(a) find f'(x)

2

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

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

2

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

QUESTION 2
3

A funciton f is given by

(a) Write down the derivative of f.

3

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

QUESTION 3
2

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

4

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

(b) Find the coordinates of P.