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Get the free Parallel tangents to graph of $f(x)2e3x$ and $g(x)5x3

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CENGAGE / G TEWANI MATHS SOLUTIONS CHAPTERAPPLICATIONCALCULUSOFDERIVATIVES|| Download Doubtnut TodayQues No.Question CENGAGE_MATHS_CALCULUS_APPLICATIONOFDERIVATIVES_EquationOf Tangents And Normals Find the total number of parallel tangents of f
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How to fill out parallel tangents to graph

01
Start by identifying two points on the graph where you want the parallel tangents to be.
02
Calculate the slope of the line passing through these two points using the formula (y2 - y1) / (x2 - x1).
03
Determine the equation of the line passing through one of the points with the calculated slope using the point-slope formula y - y1 = m(x - x1).
04
Repeat the above steps for the second point to get the equation of the other tangent line.

Who needs parallel tangents to graph?

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Mathematicians, engineers, and scientists may need parallel tangents to graph in various applications such as curve fitting, optimization problems, and analyzing the behavior of functions.
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Parallel tangents to a graph refer to lines that are tangent to the graph at two or more points and run parallel to each other.
Typically, individuals or entities involved in mathematical analysis or graphical data representation may be required to establish and file parallel tangents.
To fill out parallel tangents to a graph, you identify the points where tangents occur and ensure that the slopes are identical to maintain parallelism.
The purpose of parallel tangents to a graph is to analyze the behavior of functions and identify relationships between different curves at specified points.
Information that must be reported includes the coordinates of the points of tangency, the slopes of the tangents, and any relevant equations or data.
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