Differentiation

Question 0

d/dx (k)

Answer 0

= 0

Where k is a constant

Question 1

d/dx (x^n)

Answer 1

= nx^(n-1)

Where x is a singular pronumeral

Question 2

d/dx (u^n)

Answer 2

=n(u’)(u)^(n-1)

Question 3

d/dx (uv)

Answer 3

=uv’+vu’

Question 4

d/dx (u/v)

Answer 4

= vu’-vu’/v^2

Question 5

H rule

Answer 5

F’(x)= lim as h–>0. f(x+h)-f(x)/ h