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=18 y = 18 y=18 y=3.5 y = 3.5 y=3.5 x=18 x = 18 x=18 x=3.5 x = 3.5 x=3.5717 exam-style questions on Edexcel A Level Maths Differentiation, covering 9.1 Differentiating sin x and cos x, 9.2 Differentiating exponentials and logarithms, 9.3 The Chain Rule, 9.4 The Product Rule, 9.5 The Quotient Rule, 9.6 Differentiating Trigonometric Functions, 9.7 Parametric Differentiation, 9.8 Implicit Differentiation, 9.9 Using Second Derivatives, and 9.10 Rates of Change. Each one has a worked solution and a mark scheme showing where the marks go.