Web Reference: Nov 16, 2022 · In this section we discuss using the derivative to compute a linear approximation to a function. We can use the linear approximation to a function to approximate values of the function at certain points. The idea behind local linear approximation, also called tangent line approximation or Linearization, is that we will zoom in on a point on the graph and notice that the graph now looks very similar to a line. This means that we can use the tangent line, which rests in closeness to the curve around a point, to approximate other values along the curv... Painting the cylinder to a thickness of 1 mm is equivalent to increasing the radius of the cylinder by 1 mm. The paint required will be the consequent increase in volume.
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