Math Studies Year 2 - Intro to Calculus Find gradient of a curve and equation of a tangent to a curve

1. Gradient of a Curve and Equation of a Tangent to a Curve Math Studies 2 – Topic 7

2. Find the gradient of the tangent to the curve whose equation is at the point where x=2.

3. A power boat moves in a straight line such that at time t seconds its distance s from a fixed point O on that line is given by Find the speed after 3 seconds.

4. Find the value of the gradient of the curve whose equation is y=(x-3)(x+2) at the point where it crosses the positive x-axis (x=3).

5. Think Back What are the steps I used to solve the problems?

7. Find the equation of the tangent to the curve whose equation is at the point P where x=2.

9. Think Back What are the steps I used to solve the problems?

11. Independent Practice

14. Resources www.info.oxford-consulting.com www.wclipart.com www.clipartspot.net Mathematical Studies Course Companion (Oxford)