Derivatives Shortcuts and Formulas

5 Written Questions

1. u'/u
2. 2tan u/ (1-tan^2 u)
3. u'/1+u^2
4. (tan u - tan v)/ (1+ tan u tan v)
5. cos^2 u -sin^2 u

5 Matching Questions

1. d/dx [|u|] =
2. sin (u+v)=
3. sin (u-v)=
4. d/dx [cu] =
5. int (a to b) f(x)dx= F(b)-F(a)

1. a (u/|u|)u'
2. b sin u cos v + cos u sin v
3. c Fun de Calc Part I
4. d sin u cos v - cos u sin v
5. e cu'

5 Multiple Choice Questions

1. (tan u + tan v)/ (1- tan u tan v)
   1. tan (u+v)=
   2. sin (u+v)=
   3. tan (u-v)=
   4. sin (u-v)=
2. (cos u)u'
   1. d/dx [cos u] =
   2. d/dx [sec u] =
   3. d/dx [sin u] =
   4. d/dx [ln u] =
3. vu'-uv'/v²
   1. d/dx [u^n] =
   2. d/dx [uv] =
   3. d/dx [cu] =
   4. d/dx [u/v] =
4. (e^u)u'
   1. d/dx [a^u] =
   2. d/dx [u^n] =
   3. d/dx [e^u] =
   4. d/dx [cu] =
5. u'/|u|root(u^2-1)
   1. d/dx [arccos u]=
   2. d/dx [arcsec u]=
   3. d/dx [arccsc u]=
   4. d/dx [arcsin u]=

5 True/False Questions

1. d/dx [sec u] = → -(csc u cot u)u'

   True        False

2. d/dx [u^n] = → nu^(n-1)u'

   True        False

3. d/dx [csc u] = → -(csc u cot u)u'

   True        False

4. If f(a)=f(b) there exists some point c where... → f'(c)= 0 Rolle's Theorem

   True        False

5. d/dx [] =
   d/dx [tan u] = → u'/1+u^2

   True        False