How to find the Cartesian slope of the tangent line to a polar curve r(φ) at any given point by using polar derivative?

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Muhammad Faiz Aiman Bin Mansor
评论： Muhammad Faiz Aiman Bin Mansor 2020-6-8
How to solve it by using the polar derivative formula? Polar derivative formula is shown below.
dx/dy = (r'(φ) *sin⁡φ + r(φ) *cos⁡φ) / (r' (φ) *cos⁡φ - r(φ) *sin⁡φ )
Example of question
Find the slope of tangent at φ = pi/4
r=5(cos(φ)+1)

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采纳的回答

madhan ravi
madhan ravi 2020-6-7
Define the formula using syms and then apply diff() for function r and use subs() to plug in the function r and dotr in the main function and plug in phi value using subs() again.

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