Course home

3.6.2 Differentiation (A-level only)

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46

Question 29

A landscape architect is designing a section of a path. The elevation $h\,$ of the path (in meters) relative to a reference level is modeled by the function

\frac{1}{12}x^4 + \sin x + 5

for $−π≤x≤π-\pi \le x \le \pi$ , where $x\,$ represents the horizontal distance in meters from a marker.

Determine whether the curve with equation $y = h (x)$ has a point of inflection at the point where $x = 0$ . Fully justify your answer.

[5]

Markscheme

3.6.2 Differentiation (A-level only) Questions

A Level
Maths
3.6.2 Differentiation (A-level only)

57 exam-style questions on WJEC A Level Maths 3.6.2 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.6.2 Differentiation (A-level only)

Question bank

3.6.2 Differentiation (A-level only)

Easy Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46

Question 29

A landscape architect is designing a section of a path. The elevation $h\,$ of the path (in meters) relative to a reference level is modeled by the function

\frac{1}{12}x^4 + \sin x + 5

for $−π≤x≤π-\pi \le x \le \pi$ , where $x\,$ represents the horizontal distance in meters from a marker.

Determine whether the curve with equation $y = h (x)$ has a point of inflection at the point where $x = 0$ . Fully justify your answer.

[5]

Markscheme

3.6.2 Differentiation (A-level only) Questions

A Level
Maths
3.6.2 Differentiation (A-level only)

57 exam-style questions on WJEC A Level Maths 3.6.2 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.