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3.5.2 Differentiation (A-level only)

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Question 60

The point $P\,$ lies on the curve with equation $y=22x+1\displaystyle y = \frac{2}{\sqrt{2x + 1}}$ with $x\,$ coordinate 4

Find an equation to the tangent to the curve at the point $P$ .

[5]

The tangent intersects the $x\,$ axis at the point $A\,$ and the $y\,$ axis at the point $B$ . Find the exact area of the triangle $A O B$ , where $O\,$ is the origin.

Coordinate axes show a decreasing curve, its tangent at P, and the intercepts A and B with origin O.

[4]

Markscheme

3.5.2 Differentiation (A-level only) Questions

A Level
Maths
3.5.2 Differentiation (A-level only)

109 exam-style questions on CCEA A Level Maths 3.5.2 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.5.2 Differentiation (A-level only)

Question bank

3.5.2 Differentiation (A-level only)

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Question 60

The point $P\,$ lies on the curve with equation $y=22x+1\displaystyle y = \frac{2}{\sqrt{2x + 1}}$ with $x\,$ coordinate 4

Find an equation to the tangent to the curve at the point $P$ .

[5]

The tangent intersects the $x\,$ axis at the point $A\,$ and the $y\,$ axis at the point $B$ . Find the exact area of the triangle $A O B$ , where $O\,$ is the origin.

Coordinate axes show a decreasing curve, its tangent at P, and the intercepts A and B with origin O.

[4]

Markscheme

3.5.2 Differentiation (A-level only) Questions

A Level
Maths
3.5.2 Differentiation (A-level only)

109 exam-style questions on CCEA A Level Maths 3.5.2 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.