Skip to content
MathsGenie logo
Quick links
Open app

Course home

  1. A Level
  3. Maths CCEA
  5. Question bank

1.6 Differentiation

EasyMediumHard
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374757677
Question 76

The curve C has equation y=f(x),x>0y = f(x), x > 0y=f(x),x>0.

Given that

  • the point P(1,12)P(1, 12)P(1,12) lies on CCC
  • f′(x)=6x+kx3f'(x) = 6\sqrt{x} + \frac{k}{x^3}f′(x)=6x​+x3k​ where kkk is a constant
  • f′′(x)=0f''(x) = 0f′′(x)=0 at PPP
a.

Find the exact value of kkk.

[4]
b.

Find f(x)f(x)f(x), giving your answer in simplest form.

[4]

1.6 Differentiation Questions

  1. A Level
  2. /Maths
  3. /1.6 Differentiation