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# Derivative graphs

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Derivative Graphs

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### Derivative graphs

1. 1. Block 1 Derivative Graphs
2. 2. What is to be learned? • How to sketch y = f/ (x) if given y = f(x)
3. 3. y = f(x) f/ (x) = 0 y = f/ (x) m is positive f/ (x) above axis m is negative f/ (x) below axis m is positive f/ (x) above axis m is negative f/ (x) below axis
4. 4. y = f(x) y = f/ (x) + above - below above below + -
5. 5. y = f(x) y = f/ (x) +- above below
6. 6. Sketching y = f/ (x) • Draw directly below y = f(x) • SVs on y = f(x) → • +ve gradient on y = f(x) → • -ve gradient on y = f(x) → zero on y = f/ (x) (on x axis) above x axis below x axis
7. 7. y = f(x) y = f/ (x) - below above below + - (-3 , -2) (2 , 1) -3 2 y values irrelevant
8. 8. y = f(x) y = f/ (x) + above - below above below + - (-3 , 2) (1 , -2) (4 , 1) -3 1 4 Key Question Copy y = f(x) and sketch y = f/ (x)