Year 1 Pure- Chapter 12: Differentiation

Down

• 2. The ... of a curve at a given point is defined as the ... of the tangent to the curve at that point (8)
• 3. A ... on a curve is any point where the curve has gradient 0. Any point on the curve y =f(x) where f'(x) =0 is called a ... (10, 5)
• 4. The function f(x) is ... on the interval [a,b] if f'(x) >= 0 for all values of x such that a < x < b. (10)
• 6. If a function f(x) has a stationary point when x=a, then: if f''(a) >0, the point is a local ... (7)
• 7. The gradient ... can be used to find the gradient of the curve for any value of x. The gradient ... is written as f'(x) (8)