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. 2012 May;33(2):49–75.

Figure 1(a).

Figure 1(a).

Points P and Q on the curve y = f (x). Coordinates of P = (x, y), coordinates of Q = (x+δx, y+δy); where δx represents a small change in x and δy the corresponding small change in y. Figure 1(b). As Q approaches P, the distance P to Q along the curve approximates a straight line. When Q is infinitesimallyclose to P, the tangent line to P and Q makes an angle α (alpha) to the x-axis, where tan α equals the derivative dy/dx. This is the derivative of y with respect to x.