Chapter Three: Derivatives
What Chapter Three Covers:
1. Derivative of a function: Definition of a derivative
2. Differentiability: Corners, Cusps, Vertical Tangents, Discontinuities
3. Rules for Differentiation: Constant, Power, Product, Quotient
4. Velocity and Other Rates of Change: Physics Applications of Derivatives
5. Derivatives of Trigonometric Functions: sin(x), cos(x), tan(x), csc(x), sec(x), cot(x)
6. Chain Rule: Chain and Power Chain Rules
7. Implicit Differentiation: Imiplicit Differentiation for first and second derivatives
8. Derivatives of Exponential and Logarithmic Functions: e^x and ln(x) rules
1. Derivative of a function: Definition of a derivative
2. Differentiability: Corners, Cusps, Vertical Tangents, Discontinuities
3. Rules for Differentiation: Constant, Power, Product, Quotient
4. Velocity and Other Rates of Change: Physics Applications of Derivatives
5. Derivatives of Trigonometric Functions: sin(x), cos(x), tan(x), csc(x), sec(x), cot(x)
6. Chain Rule: Chain and Power Chain Rules
7. Implicit Differentiation: Imiplicit Differentiation for first and second derivatives
8. Derivatives of Exponential and Logarithmic Functions: e^x and ln(x) rules
calculus_cheat_sheet_derivatives_reduced1.pdf | |
File Size: | 135 kb |
File Type: |
Derivative Graphs f(x) --> f ' (x)
http://www.univie.ac.at/future.media/moe/galerie/diff1/diff1.html
http://www.univie.ac.at/future.media/moe/tests/diff1/ablerkennen.html
Tutorials
An extensive collection of calculus topics explored in numerous vides may be found at:
http://patrickjmt.com/#calculus
A few very well done tutorials covering difference quotient, power rule, product rule, quotient rule, and chain rule may be found at:
http://www.calculus-help.com/tutorials/
Numerous tutorials on derivative rules may be found at:
http://archives.math.utk.edu/visual.calculus/2/index.html *Note: Flash/Java Required for portions of this site
Various problems with solutions (10 per topic) on various calculus topics may be found at:
http://www.math.ucdavis.edu/~kouba/ProblemsList.html
A team of mathematicians that solve various problems (and show their work/rationale) in pre-calculus and calculus may be found at:
http://www.mathtv.com/videos_by_topic# Note: Use menu on left to find topic of interest!
Numerous videos on various topics of calculus may be found at:
http://www.brightstorm.com/math/calculus/ Note: you'll have to put up with short advertisments that run before each video!
http://patrickjmt.com/#calculus
A few very well done tutorials covering difference quotient, power rule, product rule, quotient rule, and chain rule may be found at:
http://www.calculus-help.com/tutorials/
Numerous tutorials on derivative rules may be found at:
http://archives.math.utk.edu/visual.calculus/2/index.html *Note: Flash/Java Required for portions of this site
Various problems with solutions (10 per topic) on various calculus topics may be found at:
http://www.math.ucdavis.edu/~kouba/ProblemsList.html
A team of mathematicians that solve various problems (and show their work/rationale) in pre-calculus and calculus may be found at:
http://www.mathtv.com/videos_by_topic# Note: Use menu on left to find topic of interest!
Numerous videos on various topics of calculus may be found at:
http://www.brightstorm.com/math/calculus/ Note: you'll have to put up with short advertisments that run before each video!