Skip to content
MathsGenie logo
Quick links
Open app

Course home

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

1.11.2 Integrating standard functions

EasyMedium
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374757677787980818283
Question 83

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

Given that

  • C C\,C passes through the point P(4,5)P(4, 5)P(4,5)
  • f′(x)=12x2+x−3\displaystyle f'(x) = \frac{12}{x^2} + \sqrt{x} - 3f′(x)=x212​+x​−3
a.

Find the equation of the tangent to C C\,C at PPP. Write your answer in the form y=mx+cy = mx + cy=mx+c, where m m\,m and c c\,c are constants to be found.

[4]
b.

Find, in simplest form, f(x)f(x)f(x).

[5]

1.11.2 Integrating standard functions Questions

  1. A Level
  2. /Maths
  3. /1.11.2 Integrating standard functions