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Examples, videos, activities, solutions, and worksheets that are suitable for A Level Maths.

How to answer questions on stationary points?

**A-Level Maths Edexcel C2 June 2008 Q8a**

This question is on stationary points using differentiation.

Figure 2 shows a sketch of part of the curve with equation y = 10 + 8x + x^{2} - x^{3}.

The curve has a maximum turning point A.

(a) Using calculus, show that the x-coordinate of A is 2.

**A-Level Maths Edexcel C2 January 2007 Q8(a)**

A diesel lorry is driven from Birmingham to Bury at a steady speed of v kilometers per hour. The total cost of the journey, C, is given by

C = 1400/v + 2v/7,

(a) Find the value of v for which C is the minimum.

(b) Find d^{2}C/dv^{2} and hence verify that C is a minimum for this vale of v.

(c) Calculate the minimum total cost of the journey.

Worked solution to the above Core 2 question on stationary points.

**A-Level Maths Edexcel C2 January 2007 Q8(b)**

Worked solution to the above Core 2 question on stationary points.
**A-Level Maths Edexcel C2 January 2007 Q8(c)**

Worked solution to the above Core 2 question on stationary points

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for A Level Maths

Math Worksheets

Examples, videos, activities, solutions, and worksheets that are suitable for A Level Maths.

How to answer questions on stationary points?

This question is on stationary points using differentiation.

Figure 2 shows a sketch of part of the curve with equation y = 10 + 8x + x

The curve has a maximum turning point A.

(a) Using calculus, show that the x-coordinate of A is 2.

A diesel lorry is driven from Birmingham to Bury at a steady speed of v kilometers per hour. The total cost of the journey, C, is given by

C = 1400/v + 2v/7,

(a) Find the value of v for which C is the minimum.

(b) Find d

(c) Calculate the minimum total cost of the journey.

Worked solution to the above Core 2 question on stationary points.

Worked solution to the above Core 2 question on stationary points.

Worked solution to the above Core 2 question on stationary points

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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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