Basic Mathematics20805 marksNumerical: implicit differentiation slopeImplicit differentiation
Define implicit differentiation and find the slope of the circle x2 + y2 = 25 at the point (3, -4).
Define implicit differentiation and find the slope of the circle $x^2 + y^2 = 25$ at the point (3, -4). [5]
Given data: - Curve (implicit relation): $x^2 + y^2 = 25$ (a circle of radius 5 centered at origin) - Point of interest: $(3, -4)$ Check that the point lies on the circle: $3^2 + (-4)^2 = 9 + 16 = 25$ ✓ All required data present. Implicit differentiation is the process of finding the derivative