3.5.4 Differentiation (A-level only)

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Question 75

A curve has equation

y^2 = y e^{3x} + 2x

a.

Show that

\frac{dy}{dx} = \frac{3y e^{3x} + 2}{2y - e^{3x}}

[4]

b.

The curve crosses the $y$ -axis at the origin $(0, 0)$ and at a second point $P$ . The tangent to the curve at the origin and the tangent to the curve at $P$ meet at the point $R$ . Find the coordinates of $R$ .

[4]

3.5.4 Differentiation (A-level only)

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Question 75

A curve has equation

y^2 = y e^{3x} + 2x

a.

Show that

\frac{dy}{dx} = \frac{3y e^{3x} + 2}{2y - e^{3x}}

[4]

b.

The curve crosses the $y$ -axis at the origin $(0, 0)$ and at a second point $P$ . The tangent to the curve at the origin and the tangent to the curve at $P$ meet at the point $R$ . Find the coordinates of $R$ .

[4]

3.5.4 Differentiation (A-level only)

Question 75

3.5.4 Differentiation (A-level only) Questions

3.5.4 Differentiation (A-level only)

Question 75

3.5.4 Differentiation (A-level only) Questions