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3.6 Differentiation (A-level only)

3.6 Differentiation (A-level only)

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Question 104

The point P P\,P lies on the curve with equation y=22x+1\displaystyle y = \frac{2}{\sqrt{2x + 1}}y=2x+1​2​ with x x\,x coordinate 4

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 showing the curve y = 2(2x+1)^{-1/2} and its tangent line at point B(0, 26/27). The tangent line intersects the x-axis at point A(13, 0). The area under the curve from x=0 to x=13 is shaded. The y-intercept is labeled B and the x-intercept is labeled A. The origin is labeled O. The point (13, 0) is also labeled above the x-axis.

[4]
Markscheme

3.6 Differentiation (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.6 Differentiation (A-level only)

333 exam-style questions on WJEC A Level Maths 3.6 Differentiation (A-level only), covering 3.6.1 Differentiation (A-level only), 3.6.2 Differentiation (A-level only), 3.6.3 Differentiation (A-level only), 3.6.4 Differentiation (A-level only), 3.6.5 Differentiation (A-level only), 3.6.6 Differentiation (A-level only), 3.6.7 Differentiation (A-level only), and 3.6 Differentiation (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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