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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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17.
Derivatives
17.1
Definition of derivative
17.2
Power rule
17.3
Gradient and equation of tangent line
17.4
Chain rule
17.5
Derivative of trigonometric functions
17.6
Derivative of exponential functions
17.7
Product rule
17.8
Quotient rule
17.9
Implicit differentiation
17.10
Derivative of inverse trigonometric functions
17.11
Derivative of logarithmic functions
17.12
Higher order derivatives
Don't just watch, practice makes perfect
Practice topics for Derivatives
17.1
Definition of derivative
17.2
Power rule
17.3
Gradient and equation of tangent line
17.4
Chain rule
17.5
Derivative of trigonometric functions
17.6
Derivative of exponential functions
17.7
Product rule
17.8
Quotient rule
17.9
Implicit differentiation
17.10
Derivative of inverse trigonometric functions
17.11
Derivative of logarithmic functions
17.12
Higher order derivatives