The mechanical stress, yyy, on a structural beam is modeled by the function y=1.5(2x−7)4+18y = 1.5(2x - 7)^4 + 18y=1.5(2x−7)4+18, where xxx is the beam's temperature in degrees Celsius. The curve of this relationship passes through the point (3.5,18)(3.5, 18)(3.5,18).
By differentiating the function using the chain rule, determine the equation of the normal to the curve at the point (3.5,18)(3.5, 18)(3.5,18).
Select your answer from the options below:
y=18y = 18y=18 y=3.5y = 3.5y=3.5 x=18x = 18x=18 x=3.5x = 3.5x=3.5
Practise Edexcel A Level Maths 9.3 The Chain Rule with exam-style questions for A Level Maths. 50 questions, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.