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Power ruleCalculus

Chain ruleCalculus

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Implicit differentiation- Home
- GCE O-Level A Maths
- Differentiation

Still Confused?

Try reviewing these fundamentals first.

Calculus

Power ruleCalculus

Chain ruleCalculus

Derivative of exponential functionsCalculus

Implicit differentiationStill Confused?

Try reviewing these fundamentals first.

Calculus

Power ruleCalculus

Chain ruleCalculus

Derivative of exponential functionsCalculus

Implicit differentiationNope, I got it.

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Get Started Now- Intro Lesson2:17
- Lesson: 1a2:05
- Lesson: 1b2:01
- Lesson: 1c4:06
- Lesson: 1d0:48
- Lesson: 1e1:50
- Lesson: 2a7:48
- Lesson: 2b3:40
- Lesson: 3a4:08
- Lesson: 3b4:03

Basic concepts: Power rule, Chain rule, Derivative of exponential functions, Implicit differentiation,

Note

If $f'(x)$ is the derivative of $f(x)$, then we say that $f"(x)$ is the $2^{nd}$ 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 $2^{nd}$ derivative of $f(x)$. Similarly, $f^{(n)}(x)$ is the $n'th$ derivative of $f(x)$.

- IntroductionThe concept of higher order derivatives
- 1.
**$1^{st}$ and $2^{nd}$ derivatives.**

Find the first and second derivative for the following functions:

a)$f(x)=x^4+5x^2+3x+2$b)$f(t)=\sin (2t)$c)$g(s)=(2s+5s^2)^7$d)$y=5$e)$f(x)=5 \ln x$ - 2.
**$2^{nd}$ derivatives with implicit differentation**

Find $y"$ by implicit differentiation for the following functions:a)$x^2+y^2=9$b)$x^2+xy=9$ - 3.
**Derivatives with repeating patterns**

Find $f^{(100)}(x)$ for the following functions:a)$f(x)= \sin (x)$b)$f(x)=e^{(2x)}$

39.

Differentiation

39.1

Power rule

39.2

Slope and equation of tangent line

39.3

Chain rule

39.4

Derivative of trigonometric functions

39.5

Derivative of exponential functions

39.6

Product rule

39.7

Quotient rule

39.8

Derivative of logarithmic functions

39.9

Higher order derivatives

39.10

Rectilinear Motion: Derivative

39.11

Critical number & maximum and minimum values

We have over 1460 practice questions in GCE O-Level A Maths for you to master.

Get Started Now39.1

Power rule

39.2

Slope and equation of tangent line

39.3

Chain rule

39.4

Derivative of trigonometric functions

39.5

Derivative of exponential functions

39.6

Product rule

39.7

Quotient rule

39.8

Derivative of logarithmic functions

39.9

Higher order derivatives

39.10

Rectilinear Motion: Derivative

39.11

Critical number & maximum and minimum values