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Question 87

The point $P\,$ lies on the curve with equation $y=xe14x2\displaystyle y = xe^{\frac{1}{4}x^2}$ with $x$ -coordinate 2.

Find an equation of 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.

[4]

Differentiation Questions

A Level
Maths
Differentiation

A Level
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