1.07 - Differentiation

Question 1

How do you differentiate from first principles?

Answer 1

f’(x) = lim(h to 0): (f(x+h) - f(x)) / h

sub in what f(x) is

Question 2

How can you tell if a function is increasing or decreasing?

Answer 2

If dy/dx > 0 the function is increasing. If dy/dx < 0 it is decreasing>

Question 3

What does the second derivative tell you?

Answer 3

The rate of change of gradient.