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1.10 G: Differentiation

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Question 43

A curve has the equation 2x2−xy+3y+y2=102x^2 - xy + 3y + y^2 = 102x2−xy+3y+y2=10:

a.

Find an expression for dydx\displaystyle \frac{dy}{dx}dxdy​

[5]
b.

Find an equation for the tangent to the curve at the point P(2,1)P(2, 1)P(2,1)

[3]

1.10 G: Differentiation Questions

  1. A Level
  2. /Maths
  3. /1.10 G: Differentiation

Practise AQA A Level Maths 1.10 G: Differentiation with exam-style questions for A Level Maths. 321 questions covering 1.10.1 The derivative and second derivative, 1.10.2 Differentiating standard functions, 1.10.3 Applications of differentiation, 1.10.4 Product, quotient and chain rules (A-level only), 1.10.5 Implicit and parametric differentiation (A-level only), and 1.10.6 Constructing differential equations (A-level only), matched to the AQA A Level Maths (7357) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank