How this calculation works
Convert polar data at a point into its tangent slope.
THE FORMULA
dy/dx=(r′ sin θ+r cos θ)/(r′ cos θ−r sin θ)A worked example
A constant radius at 45° has slope −1.
Good to know
Enter the radius derivative per radian.
Reference: OpenStax Calculus Volume 3 (opens in a new tab) ↗
Read the result
Convert polar data at a point into its tangent slope.
The primary result is labeled “Slope”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
Enter the radius derivative per radian.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
A constant radius at 45° has slope −1.
Which rule does this calculator apply?
dy/dx=(r′ sin θ+r cos θ)/(r′ cos θ−r sin θ)