This calculus video tutorial shows you how to find the derivative of any function using the power rule, quotient rule, chain rule, and product rule. It shows you how to differentiate polynomial, rational functions, trigonometric functions, inverse functions, exponential equations and logarithmic functions. It's a nice review of calculus in preparation for your next test or exam.

Here's a list of topics covered in this review of derivatives:

1. How To Find The Derivative of a Constant

2. How To Calculate The Derivative Using The Power Rule on a Monomial or Polynomial

3. Derivative of Fractions and Negative Exponents

4. Derivative of Radicals and Fractional Exponents

5. Derivative of Trigonometric Functions - Sine, Cosine, Tangent, Cotangent, Secant, and Cosecant

6. Derivative of Natural Logarithms / Logs

7. Derivatives of Logarithms

8. Derivatives of Exponential Functions - e^x or a^x

9. Logarithmic Differentiation

10. Product Rule, Quotient Rule, and Chain Rule

11. Implicit Differentiation

12. How To Differentiate With Respect to Another Variable Such as y or time for related rate problems

13. How To Find The Derivative of an Inverse Function

14. How To Find The Derivative Using Limits - Radicals, Fractions, Exponents & Factoring

Here's a list of problems covered in this video:

1. 5, 8, pi, pi^e, 4e

2. x^2, x^3, x^4, x^5

3. 4x^5, 7x^6, 8x^3

4. 4x^3 + 8x^2 - 7x + 6

5. 5x, 8x, 12x, x^1

6. 1/x^2, 1/x^3, 1/x^5, 7/x^6

7. sqrt(x), cube root(x^4), x^(3/7)

8. 8x^5 - 3/x^3 + x^(4/5)

9. sin(x), cos(x^3), tan(x^4), sec(7x), cot(x^4), csc(x^3+x^2)

10. ln(x), ln(x^2), ln(x^4-x^3), ln(sinx)

11. log5(x^3+x^2), log4(x^3)

12. e^x, e^2x, e^3x, e^x^2, e^tanx

13. 5^x, 7^x^2, 8^x^3, x^3, 3^x, x^x, x^sinx

14. (x^2)(sinx), x^3ex^2, x^4lnx

15. (x^3+6x)/(5x-8), (x^3+7x^2)/12x^5, sin(x^4), (x^3+5x^2)^4

16. tan(sinx^4), sin^3(cos(tanx^5))

17. x^3+y^3=8, x^2+2xy+y^2=7, tan(xy)=7

Tagged under: derivatives calculus,derivatives,calculus,derivatives power rule,derivatives quotient rule,derivatives chain rule,derivatives product rule,differentiation,product rule,power rule,chain rule,quotient rule,inverse trig functions,logarithmic functions,trigonometric functions,exponential functions,inverse functions,polynomials

Clip makes it super easy to turn any public video into a formative assessment activity in your classroom.

Add multiple choice quizzes, questions and browse hundreds of approved, video lesson ideas for Clip

Make YouTube one of your teaching aids - Works perfectly with lesson micro-teaching plans

1. Students enter a simple code

2. You play the video

3. The students comment

4. You review and reflect

* Whiteboard required for teacher-paced activities

With four apps, each designed around existing classroom activities, Spiral gives you the power to do formative assessment with anything you teach.

Quickfire

Carry out a quickfire formative assessment to see what the whole class is thinking

Discuss

Create interactive presentations to spark creativity in class

Team Up

Student teams can create and share collaborative presentations from linked devices

Clip

Turn any public video into a live chat with questions and quizzes

Tried out the canvas response option on @SpiralEducation & it's so awesome! Add text or drawings AND annotate an image! #R10tech

Using @SpiralEducation in class for math review. Student approved! Thumbs up! Thanks.

Absolutely amazing collaboration from year 10 today. 100% engagement and constant smiles from all #lovetsla #spiral

Students show better Interpersonal Writing skills than Speaking via @SpiralEducation Great #data #langchat folks!

Dr Ayla Göl
@iladylayla

A good tool for supporting active #learning.

The Team Up app is unlike anything I have ever seen. You left NOTHING out! So impressed!