Differentiation : Differentiation Problem – Solving
Slide 2 : 1.Find for the function
Slide 3 : 2.Find for the function
Slide 4 : 3.Find the gradient of the tangent to the curve
at point ( -2 , 2 ).
Slide 5 : 4.Given that the gradient of the tangent to the curve
at point P is 1, find the possible
x-coordinates of point P.
Slide 6 : 5. Given that the gradient of the tangent to the curve
at point ( 1, -1 ) is 8, find the values of p
and q.
Slide 7 : 6. Find the equation of the tangent to the curve
at point ( 2,3 )
Slide 8 : 7. Find the equation of the tangent to the curve
that is parallel to the straight line
y=2x-5.
Slide 9 : 8.Find the equation of normal to the curve
at point ( 1, -2 )
Slide 10 : 9. Find the coordinates of the turning points of the curve
Slide 11 : 10. Find the coordinates of the turning points of the curve
.Hence, determine whether each of the turning points is a maximum or a minimum point.
Slide 12 : 11. The curve f(x)=px³ + 2x² - 5x +3 has two turning points. One of the turning points is at x= -1. Find
The value of p
The coordinates of the turning points
Slide 13 : 12. Given that y=(2x-3)² where x and y are two related variables, find the rate of change of x when x=3 if y decreases at a rate of 2 unit s
Slide 14 : 13. The radius of a sphere increases at a rate of 0.8 cm s . At the instant when its radius is 5 cm, find the rate of change of
The volume of the sphere
The total surface area of the sphere.
Slide 15 : 14. Given that y=4x³ - 3x² + 2, find the small change in y when x increases from 2 to 2.01.
Slide 16 : 15. Given that , find the value of when
x= 3. Hence, estimate the value of