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3.5.4 Differentiation (A-level only)

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Question 40

The curve $C$ has equation

3y^{2} + 2xy^{2} = 12(3^{x}) + 15, \quad y > 0

Find an expression for $dydx\frac{dy}{dx}$ in terms of $x$ and $y$ .

[6]

Curve $C$ cuts the $y$ -axis at the point $P$ .

Find the exact value of the gradient of the tangent to $C$ at $P$ .

[4]

Markscheme

3.5.4 Differentiation (A-level only) Questions

A Level
Maths
3.5.4 Differentiation (A-level only)

82 exam-style questions on CCEA A Level Maths 3.5.4 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

3.5.4 Differentiation (A-level only)

Question bank

3.5.4 Differentiation (A-level only)

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Question 40

The curve $C$ has equation

3y^{2} + 2xy^{2} = 12(3^{x}) + 15, \quad y > 0

Find an expression for $dydx\frac{dy}{dx}$ in terms of $x$ and $y$ .

[6]

Curve $C$ cuts the $y$ -axis at the point $P$ .

Find the exact value of the gradient of the tangent to $C$ at $P$ .

[4]

Markscheme

3.5.4 Differentiation (A-level only) Questions

A Level
Maths
3.5.4 Differentiation (A-level only)

82 exam-style questions on CCEA A Level Maths 3.5.4 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.