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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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25.
Derivatives
25.1
Definition of derivative
25.2
Power rule
25.3
Gradient and equation of tangent line
25.4
Chain rule
25.5
Derivative of trigonometric functions
25.6
Derivative of exponential functions
25.7
Product rule
25.8
Quotient rule
25.9
Implicit differentiation
25.10
Derivative of inverse trigonometric functions
25.11
Derivative of logarithmic functions
25.12
Higher order derivatives
Don't just watch, practice makes perfect
Practice topics for Derivatives
25.1
Definition of derivative
25.2
Power rule
25.3
Gradient and equation of tangent line
25.4
Chain rule
25.5
Derivative of trigonometric functions
25.6
Derivative of exponential functions
25.7
Product rule
25.8
Quotient rule
25.9
Implicit differentiation
25.10
Derivative of inverse trigonometric functions
25.11
Derivative of logarithmic functions
25.12
Higher order derivatives