derivatives-power-product-quotient-and-chain-rule-functions-radicals-calculus-review

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

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