Calculus in Polar Coordinates

Slope of a Tangent Line

Let f be a differentiable function at . The slope of the tangent to the curve at the point is  provided that the denominator is nonzero at the point for which , , the tangent line is , the tangent line with the slope

Area of Regions in Polar Coordinates

Let R be the region bounded by the graphs and , between and , where f and g are continuous and on . the area of R is