Example Solutions for Step-by-Step Calculus

Derivatives

Find the derivative using the product rule, chain rule and other methods:

Find partial derivatives of multivariate expressions:

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Indefinite Integrals

Calculate an integral by substitution, integration by parts and other methods:

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Definite Integrals

See the steps for integration over an interval:

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Limits

Learn how to take a limit:

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Optimization

Find local and global extrema using a variety of tests:

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Tangent Lines & Planes

Find a tangent line to a curve using the derivative at a point:

Calculate a multivariate tangent plane by examining partial derivatives:

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Discontinuities

Get hints for discontinuities:

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