Work out
[3]
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Work out
[3]
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The curve
has a maximum point at
has a minimum point at
intersects the -axis at .
The curve crosses the -axis at three distinct points.
On the axes below, sketch the curve.
Label the points and on your sketch.
[3]
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Work out an expression for the rate of change of with respect to .
[3]
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Circle the expression for
[1]
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A curve has the equation where a is a constant.
The gradient of the curve when is twice the gradient of the curve when
Work out the value of .
You must show your working.
[5]
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On the grid, sketch a graph for which
the rate of change of with respect to is always zero.
[1]
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On the grid, sketch a graph for which
the rate of change of with respect to is always a positive constant.
[1]
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Here is a sketch of a quadratic curve which has a maximum point at (–2, 5)
What is the equation of the normal to the curve at the maximum point?
Circle your answer.
[1]
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Work out
Simplify your answer.
[2]
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Work out the value of when
[4]
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Work out the rate of change of with respect to at the point on the curve
where
You must show your working.
[4]
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Work out
[3]
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For the curve ,
where is a constant.
When the gradient of the curve is 12
Work out the value of .
[3]
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