3.2

Question 1

The Product Rule

Answer 1

If f and g are both differentiable, then

d/dx [f(x)g(x)] = f(x) d/dx[g(x)] + g(x) d/dx[f(x)]

Question 2

d/dx [f(x)g(x)] =

Answer 2

f(x) d/dx[g(x)] + g(x) d/dx[f(x)]

Question 3

Product Rule in Prime Notation

Answer 3

(fg)’ = fg’ + gf’

Question 4

Quotient Rule

Answer 4

If f and g are differentiable, then

d/dx[f(x)/g(x)] = ( g(x) d/dx[f(x)] - f(x) d/dx[g(x)] )/[g(x)]2

Question 5

Quotient Rule in Prime Notation

Answer 5

(f/g)’ = (gf’ - fg’)/g^2