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Differentiation

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Question 258

The point P P\,P lies on the curve with equation y=42x+1\displaystyle y = \frac{4}{\sqrt{2x + 1}}y=2x+1​4​ with x x\,x coordinate 12

a.

Find an equation to the tangent to the curve at the point PPP.

[5]
b.

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

A graph of the curve and its tangent, with the points P, A, B and O and the x- and y-axes labelled.

[4]
Markscheme

Differentiation Questions

  1. A Level
  2. /Maths
  3. /Differentiation

717 exam-style questions on Edexcel A Level Maths Differentiation, covering 9.1 Differentiating sin x and cos x, 9.2 Differentiating exponentials and logarithms, 9.3 The Chain Rule, 9.4 The Product Rule, 9.5 The Quotient Rule, 9.6 Differentiating Trigonometric Functions, 9.7 Parametric Differentiation, 9.8 Implicit Differentiation, 9.9 Using Second Derivatives, and 9.10 Rates of Change. Each one has a worked solution and a mark scheme showing where the marks go.

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