ifferentiation
Twitter: @Owen134866
www.mathsfreeresourcelibrary.com
, Prior Knowledge Check
1) Find the gradients of 3) Find the equation of the straight
these lines: line that passes through:
𝟏
(6,6) a) (0,-2) and(6,1)
𝒚=
𝟐
𝒙 −𝟐
𝟏 𝟏𝟕
4 4 b) (3,7) and (9,4)
𝒚 = −
𝟐
𝒙 +
𝟐
1 6
𝟏 𝟏𝟓
-5
c) (10,5) and (-2,8)
𝒚=−
𝟒
𝒙+
𝟐
5
-2/3 1
/3
2) Write each of these in 4) Find the equation of the
the form xn. 𝟐 perpendicular to the line at the
a) 𝒙
b)𝟏𝟎 𝒙𝟑 point (2,-1)
𝟏
𝒚=− 𝒙
𝟐
c) d) 𝟑
𝒙− 𝟏 𝒙 𝟒
,Teachings for
Exercise 12B
, Differentiation
• What can you say about
the gradient of the graph 𝒚= 𝒇 ( 𝒙)
to the right?
• How would you work out
the gradient at a specific
point?
• As the gradient changes,
there must be a formula
to calculate the gradient,
based on the position on
the curve…
Twitter: @Owen134866
www.mathsfreeresourcelibrary.com
, Prior Knowledge Check
1) Find the gradients of 3) Find the equation of the straight
these lines: line that passes through:
𝟏
(6,6) a) (0,-2) and(6,1)
𝒚=
𝟐
𝒙 −𝟐
𝟏 𝟏𝟕
4 4 b) (3,7) and (9,4)
𝒚 = −
𝟐
𝒙 +
𝟐
1 6
𝟏 𝟏𝟓
-5
c) (10,5) and (-2,8)
𝒚=−
𝟒
𝒙+
𝟐
5
-2/3 1
/3
2) Write each of these in 4) Find the equation of the
the form xn. 𝟐 perpendicular to the line at the
a) 𝒙
b)𝟏𝟎 𝒙𝟑 point (2,-1)
𝟏
𝒚=− 𝒙
𝟐
c) d) 𝟑
𝒙− 𝟏 𝒙 𝟒
,Teachings for
Exercise 12B
, Differentiation
• What can you say about
the gradient of the graph 𝒚= 𝒇 ( 𝒙)
to the right?
• How would you work out
the gradient at a specific
point?
• As the gradient changes,
there must be a formula
to calculate the gradient,
based on the position on
the curve…
