Differential Calculus

Collection by Math Principles in Everyday Life

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Math Principles in Everyday Life
Topic for October 13, 2014: Getting the point of tangency of a curve and a tangent line with a given slope. Please visit the website to see the details. If you have any questions, please send me an e-mail.

Tangent Lines and Normal Lines, 5

This is the 5th problem about tangent lines and normal lines. The given curve has no tangent line with the given slope.

Topic for October 12, 2014: Getting the angle required to get the maximum amount of water in a gutter. Please visit the website to see the details. If you have any questions, please send me an e-mail.

Maximum and Minimum Problems, 9

This is the 9th problem about maximum and minimum problems. The measurement of angle required for the gutter is unknown.

Topic for June 30, 2014: Indeterminate Form, ∞/∞. Please visit the website to see the details. Thanks and have a nice day to everyone. If you have any questions, please send me an e-mail.

Indeterminate Form - Infinity Over Infinity, 4

This is the 4th problem about indeterminate form, infinity over infinity. The radical function at the numerator is given.

Topic for June 29, 2014: Indeterminate Form, Zero Over Zero. Please visit the website to see the details. Thanks and have a nice day to everyone. If you have any questions, please send me an e-mail.

Indeterminate Form - Zero Over Zero, 8

This is the 8th problem about indeterminate form, zero over zero. The ratio of two trigonometric functions are given.

Topic for June 28, 2014: Indeterminate Form, Combined. Please visit the website to see the details. Thanks and have a nice day to everyone. If you have any questions, please send me an e-mail.

Indeterminate Form - Combined, 3

This the 3rd problem about Indeterminate Form, Combined. The third degree algebraic functions are given.

Topic for June 27, 2014: Indeterminate Form, 0/0. Please visit the website to see the details. Thanks and have a nice day to everyone. If you have any questions, please send me an e-mail.

Indeterminate Form - Zero Over Zero, 7

This is the 7th problem about indeterminate form, zero over zero. The ratio of two algebraic functions are given.

Topic for June 26, 2014: Indeterminate Form, Combined. Please visit the website to see the details. Thanks and have a nice day to everyone. If you have any questions, please send me an e-mail.

Indeterminate Form - Combined, 2

This the 2nd problem about Indeterminate Form, Combined. The second and third degree algebraic fraction is given.

Topic for June 25, 2014: Indeterminate Form, 0•∞ . Please visit the website to see the details. Thanks and have a nice day to everyone. If you have any questions, please send me an e-mail.

Indeterminate Form - Zero Times Infinity, 2

This is the second problem about indeterminate form, zero times infinity. The product of two functions is given.

Topic for June 24, 2014: Indeterminate Form, 0/0 . Please visit the website to see the details. Thanks and have a nice day to everyone. If you have any questions, please send me an e-mail.

Indeterminate Form - Zero Over Zero, 6

This is the 6th problem about indeterminate form, zero over zero. The ratio of two trigonometric functions are given.

Topic for June 23, 2014: Indeterminate Form, ∞/∞ . Please visit the website to see the details. Thanks and have a nice day to everyone. If you have any questions, please send me an e-mail.

Indeterminate Form - Infinity Over Infinity, 3

This is the 3rd problem about indeterminate form, infinity over infinity. The rational function consists of quadratic and cubic functions.

Topic for June 22, 2014: Indeterminate Form, ∞/∞ . Please visit the website to see the details. Thanks and have a nice day to everyone. If you have any questions, please send me an e-mail.

Indeterminate Form, Infinity Over Infinity, 2

This is the second problem about indeterminate form, infinity over infinity. The rational function consists of exponential functions.

Topic for June 21, 2014: Indeterminate Form, 0/0 . Please visit the website to see the details. Thanks and have a nice day to everyone. If you have any questions, please send me an e-mail.

Indeterminate Form, Zero Over Zero, 5

This is the 5th problem about indeterminate form, zero over zero. The ratio of two quadratic equations are given.

Topic for March 3, 2014: Finding the second derivative for two equations with respect to x by Chain Rule Method. Please visit the website to see the details. Thanks and have a nice day to everyone. If you have any questions, please send me an e-mail.

Second Derivative Problems - Chain Rule

This is a 4th problem about getting the 2nd derivative of the given equation. The given equation is a chain rule with 3 variables.

Topic for March 2, 2014: Finding the second derivative of 1/(dx/dy) with respect to x. Please visit the website to see the details. Thanks and have a nice day to everyone. If you have any questions, please send me an e-mail.

Second Derivative Problems - Reciprocal Formula

This is a third problem about getting the 2nd derivative of the given equation. The given equation is the reciprocal of a function.

Topic for March 1, 2014: Finding the second derivative of u/v with respect to x. Please visit the website to see the details. Thanks and have a nice day to everyone. If you have any questions, please send me an e-mail.

Second Derivative Problems - Quotient Formula

This is a second problem about getting the 2nd derivative of the given equation. The given equations are the quotient of two functions.

Topic for February 28, 2014: Finding the second derivative of uv with respect to x. Please visit the website to see the details. Thanks and have a nice day to everyone. If you have any questions, please send me an e-mail.

Second Derivative Problems - Product Formula

This is a first problem about getting the 2nd derivative of the given equation. The given equations are the product of two functions.