A curve is defined by the equation y=g(x)y = g(x)y=g(x). It is known that the curve has a point of inflection at x=−4x = -4x=−4. Given that g′(−4)=kg'(-4) = kg′(−4)=k and g′′(−4)=mg''(-4) = mg′′(−4)=m, where kkk and mmm are constants, identify which of the following statements must be true:
g′(−4)=0g'(-4) = 0g′(−4)=0 g′′(−4)=0g''(-4) = 0g′′(−4)=0 g′(−4)≠0g'(-4) \neq 0g′(−4)=0 g′′(−4)>0g''(-4) > 0g′′(−4)>0
Practise Edexcel A Level Maths 9.9 Using Second Derivatives with exam-style questions for A Level Maths. 57 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.