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- Limits and Derivatives
Higher order derivatives
- Intro Lesson2:17
- Lesson: 1a2:05
- Lesson: 1b2:01
- Lesson: 1c14:14
- Lesson: 1d0:48
- Lesson: 1e1:50
- Lesson: 2a7:48
- Lesson: 2b3:40
- Lesson: 3a4:08
- Lesson: 3b4:03
Higher order derivatives
Basic Concepts: Power rule, Chain rule, Derivative of exponential functions, Implicit differentiation
Lessons
Note
If f′(x) is the derivative of f(x), then we say that f"(x) is the 2nd derivative of f(x). Similarly, f(n)(x) is the n′th derivative of f(x).
If f′(x) is the derivative of f(x), then we say that f"(x) is the 2nd derivative of f(x). Similarly, f(n)(x) is the n′th derivative of f(x).
- IntroductionThe concept of higher order derivatives
- 1.1st and 2nd derivatives.
Find the first and second derivative for the following functions:
a)f(x)=x4+5x2+3x+2b)f(t)=sin(2t)c)g(s)=(2s+5s2)7d)y=5e)f(x)=5lnx - 2.2nd derivatives with implicit differentation
Find y" by implicit differentiation for the following functions:a)x2+y2=9b)x2+xy=9 - 3.Derivatives with repeating patterns
Find f(100)(x) for the following functions:a)f(x)=sin(x)b)f(x)=e(2x)
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26.
Limits and Derivatives
26.1
Finding limits from graphs
26.2
Definition of derivative
26.3
Power rule
26.4
Slope and equation of tangent line
26.5
Chain rule
26.6
Derivative of trigonometric functions
26.7
Derivative of exponential functions
26.8
Product rule
26.9
Quotient rule
26.10
Implicit differentiation
26.11
Derivative of inverse trigonometric functions
26.12
Derivative of logarithmic functions
26.13
Higher order derivatives
Don't just watch, practice makes perfect
Practice topics for Limits and Derivatives
26.1
Finding limits from graphs
26.2
Definition of derivative
26.3
Power rule
26.4
Slope and equation of tangent line
26.5
Chain rule
26.6
Derivative of trigonometric functions
26.7
Derivative of exponential functions
26.8
Product rule
26.9
Quotient rule
26.10
Implicit differentiation
26.11
Derivative of inverse trigonometric functions
26.12
Derivative of logarithmic functions
26.13
Higher order derivatives