Pure Year 1 C12

Question 1

tangent to curve with point (a, f(a)) has equation..

Answer 1

y- f(a) = f’(a) (x-a)

Question 2

Normal to the curve

Answer 2

y - f(a) = - 1/ f’(a) X (x - a)

Question 3

The function f(x) is increasing on the interval [a, b) if f’ (x) …

Answer 3

greater than or = to 0

Question 4

The function f(x) is decreasing on the interval [a, b) if f’ (x)

Answer 4

less than or = to 0

Question 5

if f(x) has stationary point x= a

if f ‘’ (a) > 0, point is

Answer 5

local minimum

Question 6

if f(x) has stationary point x= a

if f ‘’ (a) < 0, point is

Answer 6

local maximum