Exam 2 Make-up

Question 1

State the Product Rule

Answer 1

If f and g are differentiable then
d/dx(f.g) = df/dx(g) + dg/dx (f)

Question 2

State the Quotient Rule

Answer 2

If f and g are differentialble and g(x) does not equal 0 then,
d/dx (f/g) = (g df/dx) - (f dg/dx) / g^2

Question 3

State the Chain Rule

Answer 3

If g is differentiable and f is differentiable on the range of g, where F = f(g(x)),
then, dF/dx = (df/dg) (dg/dx)

Question 4

State the definition of the Derivative of f’(x)

Answer 4

The derivative of a function f at a number a is

f’(x) = lim h–> 0 of f(x+h)-f(x)/h provided that the limit exists