CALCULUS PROBLEMS
Mr. X helps math students better understand Calculus. Our sample math problems are designed to provide the necessary practice to know and understand the ideas and principles of calculus. The sample problems reinforce the calculus lessons available to our subscribers. Check out our free samples below, as well as the calculus problem set.Calculus Sample Problems
General Topics
Calculus 


Title/Subject  Description  
Derivatives of Functions in x  Determine derivatives of functions in one variable, typically x. These are basic functions. 

Functions and Derivatives  Take derivatives of functions in x. We find either y' or dy/dx, depending on your common notation. 

Limits of Indeterminate Expressions with Roots  Indeterminate limits of the form 0/0 can be evaluated with derivatives of both numerator and denominator.  
Limits of Indeterminate Rational Expressions  We evaluate limits of zerodividedbyzero rational expressions by evaluating the derivatives of the numerator and denominator.  
Problem Set 133  Derivative problems of a most basic nature.  
Problem Set 134  Basic problems to find the derivative of function y with respect to x.  
Problem Set 135  We find the first derivative of y with respect to x.  
Problem Set 136  Derivative problems here involve inverse trig functions and e. Those are more detailed in Lesson 136. 

Problem Set 137  We find the derivative of the arccosine function, as well as functions involving e and trig functions. 

Problem Set 138  These derivative problems involve radicals and higher powers of x.  
Problem Set 139  More derivatives from the first semester of The Calculus.  
Problem Set 140  More basic derivatives of y = f(x), with respect to x.  
Problem Set 141  Problems involve trig function, inverse trig functions, and natural logarithms.  
Problem Set 142  Practice more derivatives, f'(x), or dy/dx.  
Problem Set 143  Higher powers are showing up in our functions f(x), for which we find dy/dx, or f'(x).  
Problem Set 144  We want an equation to the line tangent to our original function at some specified point.  
Problem Set 145  We find equations for lines tangent to functions using a first derivative function set to zero.  
Problem Set 146  Find the equation of a normal line, perpendicular to the tangent line.  
Problem Set 150  From values associated with the first derivative of a function, determine the function f(x).  
Problem Set 151  I work the cubic and leave for you the quadratic.  
Problem Set 152  Given extrema, determine the coefficients of the "original" function f(x).  
Problem Set 153  Find extrema  maxima and/or minima. I employ the Quotient Rule. 

Problem Set 154  We determine inflection points with implementation of second derivatives.  
Problem Set 155  Determine concavity/convexity with inflection points. We employ second derivatives. 

Problem Set 156  We employ second derivatives to find inflection points to determine concavity/convexity of f(x).  
Problem Set 157  Determine concavity/convexity of f(x).  
Problem Set 160  We recommend www.desmos.com to see functional relationships as we determine monotonicity and extrema of f(x).  
Problem Set 170  Evaluate an antiderivative between limits of integration to find the area under the curve with a definite integral.  
Problem Set 171  Find the area between a function curve and the xaxis by evaluating a define integral between limits of integration.  
Problem Set 172  Use a definite integral to find area between function curve and the xaxis.  
Problems of Limits  An indeterminate quotient limit can be found by taking the limit of the derivative function top and bottom. 