We show, step-by-step, how to find the derivative and integral of a vector-valued function.

# Category: Study Help

## Leaves of polar curves

For a given polar curve, we show, step-by-step, how to find the slope of an arbitrary line and how to find the area of each leaf of the curve.

## Tangents to Parametric Equations

We show, step-by-step, how to find the equation of a tangent line to a parametric equation at a given point.

## Taylor Series

We show, step-by-step, how to find the Taylor series of a function, find the interval and radius and convergence and how to approximate function values.

## Alternating and Integral Test

We show, step-by-step, how to determine if an alternating series is divergent, conditionally convergent or absolutely convergent.