Differentiation.1

Question 1

Find max/min points

Answer 1

1) Make f’(𝑥)=0 and solve for 𝑥
2) differentiate 2nd
3) Sub in 𝑥 values into f’‘(𝑥)
4) If 𝑥>0 min. point
If 𝑥<0 max. point

Question 2

Find gradient (with 𝑥)

Answer 2

-Differentiate
-Sub in 𝑥
-Solve and answer = m

Question 3

Find coordinates (with m)

Answer 3

-Differentiate
-Make f’(𝑥)=m and solve for 𝑥
-Sub 𝑥 into original to find y
-Put in form (a,b)