CALCULUS LESSONSWhether needing help with calculus homework or reviewing for tests, Mr. X can help any aspiring engineer or scientist better understand Calculus. Our lessons are designed to reinforce the instructor's message. We also have a library of sample calculus problems with examples of solved problems for each calculus lesson. Check out our free samples below, as well as the calculus curriculum. Calculus lessons and problems are included with a subscription to Mr. X.
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|Lesson 133 - Derivatives||This lesson accompanies Problem Set 133. All we want to do in these problems is find the first derivative of y with respect to x.|
|Lesson 134||The problems discussed here are also found in Problem Set 134. We are finding a derivative of a function y with respect to x.|
|Lesson 135||A lesson to accompany Problem Set 135, we find derivatives of functions with respect to x.|
|Lesson 136||Application of Power Rule and Product Rule for problems also found in Problem Set 136. We include a derivation of the derivative of y = arctan x.|
|Lesson 137||We derive the derivative for the function y = arccos x. The problems in this lesson are also found in Problem Set 137.|
|Lesson 138||More derivatives. These involve fractions and radicals.|
|Lesson 139||More first derivatives of function y with respect to x.|
|Lesson 140||More basic derivatives of y with respect to x. The problems discussed here are also in Problem Set 140.|
|Lesson 143||Higher powers and trig functions reside in problems discussed here, which are also in Problem Set 143.|
|Lesson 144||We use derivatives to "zero in" on tangent lines to a curve at a point on a given function.|
|Lesson 155||We use the second derivative to find inflection points and to determine concavity. Which way does a function graph bend?|
|Lesson 170||The problems in Problem Set 170 are detailed here as we look at definite integrals. We find the area "under" a curve.|
|Lesson 171||With graphics from www.desmos.com, we look at applications of the definite integral to find area between the curve and the x-axis between limits of integration.|
|The Ferry Problem||As derivative functions of polynomials in one variable are easy to determine, the maximum daily revenue for our ferry is very straightforward. We recommend looking at The Ferry Problem in both Basic Algebra and Advanced Algebra to appreciate the nature of this solution.|