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Examples for

# Step-by-Step Calculus

### Derivatives

#### Explore the steps for derivative calculations using the power rule:

#### Find the derivative using the product rule:

#### Compute derivatives using the quotient rule:

#### See step by step how to apply the chain rule:

#### Use the limit definition to compute derivatives:

#### Find partial derivatives of multivariate expressions:

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

#### Perform logarithmic differentiation to compute a derivative:

### Integrals

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

#### Use u-substitution to compute an integral step by step:

#### Compute an integral by parts:

#### Integrate using trigonometric substitution:

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

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

### Tangent Lines & Planes

#### Find a line tangent 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:

### Vector Analysis

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

#### Learn how to compute the divergence:

### Applications of Derivatives

#### Find the line tangent to a curve at a point step by step:

#### Compute the local maxima or minima of a function:

#### Show the steps for finding the global minima or maxima of a function:

#### Discover how to calculate the extrema of a function on a given interval:

#### Find the inflection points of a function:

### Limits

#### Learn how to take a limit:

#### Calculate a limit approaching infinity:

#### Perform a one-sided limit step by step:

#### Use L'Hôpital's rule to compute a limit:

#### See the steps to use the squeeze theorem on a limit:

### Discontinuities

#### Get step-by-step solutions for finding discontinuities:

### Arc Length

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

#### Specify a curve in polar coordinates:

#### Specify a curve parametrically:

### Sum Convergence

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

#### Determine whether a series converges step by step:

#### Test whether a series converges absolutely:

#### Explore divergent series:

### Optimization

#### Explore step by step a variety of tests to discover local and global extrema:

### Inflection Points

#### Calculate inflection points step by step:

### Applications of Integration

#### Find the average value of an equation on an interval:

#### Look through the steps to find the average value of a derivative on an interval: