Apply calculus methods in solving problems 5 credits External
Click for links to sub-topics
Key tips from Studyit
- Practise using notations y', dy/dx, f'(x).
- Practise differentiation and integration of terms.
- Check that you answer the question that is asked and relate your answer to the context of the problem.
- You must choose the appropriate process, show clear evidence of correct differentiation or integration, and use this function to answer the question.
- When using graphical calculators, you must show the derived and integrated solutions and any equation that you needed to form.
- Remember when you are finding an area below the x-axis, the integral will be negative. The area is positive. The negative sign just tells you that the area is below the axis.
- When finding area under a graph you need to sketch a graph first, if one is not given. If the x-axis divides the area into separate sections above and below the axis, you will find the integrals of each part separately. Make the value of each area positive, and add them together.
- For Achievement, you may be required to show the relationship between the derivative and the gradient function by sketching the gradient function given the graph of a quadratic or cubic function.
- For Achievement with Merit and Achievement with Excellence, you may be expected to interpret your solutions in context.
- For Achievement with Merit, where a question required the calculation of composite areas in solving a problem, give calculations for each component as this can provide evidence for Achievement.