Find the area of the triangle formed from the coordinate axes and the tangent line to the curve y = 5x^(−1) −x/5 at the point (5,0).
Find the first derivative
Point
The equation of the tangent to the curve at the point (5, 0) in point-slope form
The equation of the tangent to the curve at the point (5, 0) in slope-intercept form
-intercept: Point
-intercept: Point
The area of the right triangle is equal to
The area of the triangle formed from the coordinate axes and the tangent line to the curve at the point (5,0) is 5 squared units.
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