FINDING COORIDNATES OF TANGENT WHEN SLOPE IS GIVEN WORKSHEET

Problem 1 :

Find the coordinates of the point (s) on 

f(x) = x² + 3x + 5

where the tangent is horizontal

Solution

Problem 2 :

Find the coordinates of the point (s) on 

f(x) = √x

where the tangent has gradient 1/2

Solution

Problem 3 :

Find the coordinates of the point (s) on 

f(x) = x³ + x² - 1

where the tangent has gradient 1

Solution

Problem 4 :

Find the coordinates of the point (s) on 

f(x) = x³ - 3x + 1

where the tangent has gradient 9

Solution

Problem 5 :

Find a if,

f(x) = ax² + 6x - 3

has a tangent with gradient with gradient 2 at the point where x = -1

Solution

Problem 6 :

Find a if,

f(x) = a/x

has a tangent with gradient with gradient 3 at the point where x = 2

Solution