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=3.5Practise AQA A Level Maths 1.10 G: Differentiation with exam-style questions for A Level Maths. 321 questions covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only), matched to the AQA A Level Maths (7357) 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.
