Skip to content
MathsGenie logo
Quick links
Open app

Course home

  1. A Level
  2. Maths OCR
  3. Question bank

1.7 Differentiation

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990
Question 65

The point P P\,P lies on the curve with equation y=3xex2y = 3xe^{x^2}y=3xex2 with xxx-coordinate 1.

a.

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

[5]
b.

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

[4]

1.7 Differentiation Questions

  1. A Level
  2. /Maths
  3. /1.7 Differentiation