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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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41.
Differentiation
41.1
Power rule
41.2
Slope and equation of tangent line
41.3
Chain rule
41.4
Derivative of trigonometric functions
41.5
Derivative of exponential functions
41.6
Product rule
41.7
Quotient rule
41.8
Derivative of logarithmic functions
41.9
Higher order derivatives
41.10
Rectilinear Motion: Derivative
41.11
Critical number & maximum and minimum values
Don't just watch, practice makes perfect
Practice topics for Differentiation
41.1
Power rule
41.2
Slope and equation of tangent line
41.3
Chain rule
41.4
Derivative of trigonometric functions
41.5
Derivative of exponential functions
41.6
Product rule
41.7
Quotient rule
41.8
Derivative of logarithmic functions
41.9
Higher order derivatives
41.10
Rectilinear Motion: Derivative
41.11
Critical number & maximum and minimum values