## 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 Problem 1
Calculus Sample Problem 2
Calculus Sample Problem 3

# 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 zero-divided-by-zero 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 x-axis by evaluating a define integral between limits of integration. Problem Set 172 Use a definite integral to find area between function curve and the x-axis. Problems of Limits An indeterminate quotient limit can be found by taking the limit of the derivative function top and bottom. Sample Arithmetic Problems | Math Glossary | Solving Algebra Problems | Trig Homework | Homework Help with Algebra | Learn Trigonometry | Math Glossary Geometry | Calculus Glossary