differentiation - year 1 chapter 12

Question 1

how to differentiate

Answer 1

times by power
take one from the new power

Question 2

tangents to a curve have

Answer 2

same gradient

Question 3

normal to a curve have

Answer 3

perpendicular gradient

Question 4

stationary point

Answer 4

dy/dx = 0

Question 5

increasing function

Answer 5

f’(x) > 0

Question 6

decreasing function

Answer 6

f’(x) < 0

Question 7

minimum point

Answer 7

f’‘(x) > 0 (second derivative is greater than 0)

Question 8

maximum point

Answer 8

f’‘(x) < 0