Free Calculus Worksheets to Download

Free calculus worksheets with solutions, in PDF format, to download, are presented. File may be printed and download, save an electronic copy and use when needed.

Free calculus booklet with a list of Greek letters, absolute value, arithmetic and geometric series, exponential and logarithmic functions, the binomial theorem, exponents and radicals, derivatives, integrals, Taylor and Maclaurin series, real and complex Fourier series, Fourier and Laplace transform, numerical method to solve equations, numerical integration and power series of common functions.

Finds Domain and Range of Functions

• Find Domain and Range of Functions(1) with solution.
• Find Domain and Range of Functions(2). Inverse trigonometric functions with solution.

Finds Limits of Functions

• Limits of Functions(1): Rational functions and functions with absolute value with Solution.
• Limits of Functions(2): Rational functions, logarithmic and square root functions with Solution.
• Limits of Functions(3): Trigonometric functions with Solution.
• Limits of Functions(4): Functions with square Root with Solution.
• Limits of Functions(5): Squeeze Theorem with Solution.
• Limits of Functions(6) with Solution.

Continuity of Functions

• Continuity of Functions(1). Questions of continuity on stepwise functions.

Differentiation of Functions

• Differentiation of Functions(1), using chain rule with Solution.
• Differentiation of Functions(2), more questions on how to use the chain rule in differentiation of composite functions with Solution.

Differentiation of Inverse Functions

• Differentiation of Inverse Functions (1), review of the formula used to find the first derivative of the inverse of a function.
• Differentiation of Inverse Functions (2), questions related to the derivative of the inverse of functions with solution.

Integration of Functions

• Integration of Functions(1), using partial fractions decomposition, substitution and integration by parts with Solution.

Rate of Change

• Rate of Change(1) of the height of water being poured in a conical container.with Solution
• Rate of Change(2) of a melting block of ice.with Solution
• Rate of Change(3). Ladder problem.with Solution
• Rate of Change(4). Container with trapezoidal cross section.with Solution

Functions Defined by Integrals

• Functions Defined by Integrals(1). Find derivatives of function defined by an integral and state whether its graph is concave up or down. with Solution

Functions Defined by Tables

• Functions and Derivatives Defined by Tables(1). with Solution

Stepwise Functions

• Derivatives of Stepwise Functions(1). with Solution.

Motion Problems

• Motion Problem(1) involving acceleration, velocity and position. with Solution.

Graphs of Functions

• Graphs of Functions(1). Given the graph of f, sketch the graphs of |f(x)|, f(|x|), -f(x) and f(-x). with Solution.
• Graphs of Functions(2). Find the period, minimum and maximum values and location and sketch the graph of a composite sine function.

Even and Odd Functions

• Even Odd Functions(1), questions with solutions.

Derivatives of Composite Functions

• Derivative of Composite Functions(1) with Solution.

More References and links

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