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5: Calculus
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Differentiation

Differentiation

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Timeline

LIMITS

Basic concept of a limit

01:31

Limit from a graph

03:28

Exercise

04:27

Limit from a table

04:59

Slope as a Limit

05:57

Limit definition of derivative

08:33

DERIVATIVE

Gradient

10:51

Exercise

12:35

Rate of Change

12:56

Exercise

14:11

Derivative of xⁿ where n is an integer

14:42

Derivatives of sums and scalar multiples

15:41

Exercise

17:05

Derivative of xⁿ where n is rational

17:33

Derivative of e^x

19:10

Derivatives of sin and cos

19:55

Derivative of ln

20:35

Chain rule

20:52

Product and Quotient rule

25:07

APPLICATIONS

Tangent to f(x)

27:40

Exercise

30:13

Normal to f(x)

35:13

Exercise

37:40

Second Derivative

40:51

Stationary points & Increasing/Decreasing Regions

43:20

Exercise

44:17

Maxima & Minima

45:10

Exercise

46:51

Inflexion points

54:42

Concavity

1:03:29

Graphs of f, f' and f''

1:04:19

HL

n^th derivative

1:18:21

Derivative of tan(x)

1:30:45

Derivatives of inverse trig functions

1:30:55

Derivatives of reciprocal trig functions

1:31:19

Derivatives of a^x and log_a(x)

1:31:44

Implicit Differentiation

1:33:28

Volume related rates

1:34:22

Related rates with implicit differentiation

1:35:38

Distance related rates

1:36:37

Angle related rates

1:37:44

Limit definition of derivative

1:41:08

L'Hôpital's rule

1:44:24

LimitsDerivativeApplicationsHL

The video will automatically pause when it reaches a problem.

LimitsDerivativeApplicationsHL