Tangents. The slope of the secant line is given by The tangent line’s slope at point a is given by ax.

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Presentation transcript:

Tangents

The slope of the secant line is given by The tangent line’s slope at point a is given by ax

Example Find the equation for the line tangent to the parabola y = x 2 at the point (1, 1)

Another Form

Example Find the equation for the tangent to the hyperbola y = 3/x at the point (3, 1)

Example Find the slope of the tangent line to the function at a point a What is the value of this slope at the following points (1,1), (4, 2), (9, 3)

Example Find the slope of the tangent line to the function f(x)= x 2 + 3x at the point (1, 4) using each definition