Aims: To recap the chain rule, product and quotient rules. To be able to differentiate x as a function of y. To apply these skills to find stationary points, tangents and normals Differentiation Lesson 8 (mix) Starter – memory poster next slide!

Differentiation Remember these The Chain rule eee

Think of the easiest way! Example 1 Given find the value of at the point where y = 3 Example 2 Find the equation of the tangent to the curve Also find the stationary point which lies in the -2 < x < -4

Applications of Trig Differentiation Example 3 The volume of water, Vm 3, in a container changes with time, t seconds, according to the formula V = 20 – ln(t + 1). Find the rate of change, m 3 per sec, of water in the container in at the time when t = 5, interpret the sign of your answer. (Is it an increasing of decreasing function?) Treasure hunt Do Mixed Ex page 105 all questions except number 3 and complete at home.