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Examples for

# Step-by-Step Calculus

### Derivatives

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

#### Find partial derivatives of multivariate expressions:

#### See how to evaluate derivatives at a given point:

### Limits

#### Learn how to take a limit:

### Discontinuities

#### Get hints for discontinuities:

### Arc Length

#### Calculate the arc length of a curve step by step:

#### Specify the curve in polar coordinates:

#### Specify the curve parametrically:

### Integrals

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

#### See the steps for definite integration over an interval:

#### See the steps for multivariate integration over a given domain:

### Optimization

#### Find local and global extrema using a variety of tests:

### Inflection Points

#### Calculate inflection points step by step:

### Vector Analysis

#### See the steps to compute the gradient:

#### Learn how to compute the divergence:

### 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:

### Area between Curves

#### Learn how to compute the area between curves:

### Sum Convergence

#### Learn how to compute the convergence of an infinite sum: