Differentiation (calculus) quiz

Differentiation is one of the most fundamental and important aspects of calculus. In order to do well you need to know and remember tables of standard derivatives.

This quiz tests your ability to remember various rules of differentiation and apply standard formulae. There are also some straightforward questions where all you need to do is observe and indicate the correct answer. The rules of differentiation which this quiz tests together with the corresponding formulae are as follows: The product rule:dy/dx = u.dv/dx + v.du/dx The chain rule:dy/dx = dy/du.du/dx Parametric differentiation:dy/dx = (dy/dt)/(dx/dt)

Created by: John Carpenter

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  1. When y = x cos 2x dy/dx =
  2. When y = sec(sin x) dy/dx =
  3. When y = x ln(sec x) dy/dx =
  4. When y = sin(2x - 3) dy/dx =
  5. If f(x,y,z) = ln(xyz) then what is del f ?
  6. When y = sin x sinh x dy/dx =
  7. When y = ln(4x - 1) dy/dx =
  8. When y = tan x + sec x dy/dx =
  9. Given that ln(xy) = x + y then an expression for dy/dx in terms of x and y is
  10. Given that x = ln t and y = sin t then an expression for dy/dx in terms of t is
  11. When y = 2 sin 2x + cos x dy/dx =
  12. Given that x + sin y = y + sin x then an expression for dy/dx in terms of x and y is
  13. When y = x arctan x dy/dx =
  14. When y = 3^x dy/dx =
  15. Given that x = sec t and y = tan t then dy/dx =

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