(a) Find the zeros of this function.
(b) Using the derivative find the stationary points of this function.
(c) Draw the graph.
Solutions: (a)(a) Calculate the derivative of this function.
(b) Hence find the stationary points of this function.
(c) Draw the graph using your GDC and verify the obtained result.
Solutions: (a)(a) Calculate the derivative of this function.
(b) Hence find the stationary points of this function.
(c) Draw the graph using your GDC and verify the obtained result.
Solutions: (a)(a) Use the derivative to find stationary points.
(b) Draw the graph using your GDC.
(c) Hence determine the type of each of these points.
Solutions: Maximum:(a) Use the derivative to find stationary points.
(b) Draw the graph using your GDC.
(c) Hence determine the type of each of these points.
Solutions: Minimum:(a) Use the derivative to find stationary points.
(b) Draw the graph using your GDC.
(c) Hence determine the nature of each of these points.
Solutions: Minimum:(a) Find the value of
(b) Write down all stationary points of this function and draw its graph.
(c) Find the zero with the smallest abscissa.
Solutions: (a)(a) Draw the graph.
(b) Find the stationary points and write down their types.
Solutions: (b) maximum:(a) Draw the graph.
(b) Find zeros and asymptotes.
(c) Find and classify the stationary points.
Solutions: (b) Zeros:(a) Find the zeros and asymptotes, if any.
(b) Find and classify the stationary points.
Solutions: (a) No zeros, no vertical asymptotes, horizontal asymptote:(a) Draw the graph.
(b) Find and classify the stationary points.
Solutions: (b) Maximum:(a) Draw the graph.
(b) Find and classify the stationary points.
Solutions: (b) minimum(a) Find and classify the stationary points.
(b) Find and classify the inflexion points.
Solutions: (a) minimum:(a) Find the rate of change at
(b) Find the rate of change at
(a) Find and classify the stationary points.
(b) Find the intervals of increase and decrease.
Solutions: (a) Maximum:(a) Find and classify the stationary points.
(b) Find the intervals of increase and decrease.
Solutions: (a) Maximum:(a) Draw the graph of this function.
(b) Write down the derivative
(c) Find values of
(d) Find the interval where the derivative is negative.
Solutions: (b)(a) Find values of
(b) Find values of
(a) Find values of
(b) Find values of
(c) Find values of
(a) Find values of
(b) Find values of
(c) Find values of
(d) Find values of
(a) Find the value of
(b) Calculate the sides and the volume of the box in this case.
Solutions: (a) Small square(s):