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Differentiating Inverse Trig Functions
Worksheet on differentiating inverse trigonometric functions.
Includes a worked example on differentiating arcsin x and then students can show how to get the results for arccos x and arctan x.
Questions then rely on using the chain rule and product rule and increase in difficulty.
Worked solutions are included for ease with marking or to give students to review their own work.
Black and White version also included
LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable, meaning they cannot be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses.
COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.
Bundle
Calculus Treasure Hunt Bundle
This bundle includes treasure hunts for differentiating
Powers of x
Chain Rule - powers of x
Chain Rule - Trigonometry, logs and exponentials
Logarithms and Exponentials
and integrating
Powers of x
Integrating Powers of x Treasure Hunt
Use this Treasure Hunt after introducing the reverse of differentiation.
These are all definite integrals for powers of x. Some questions need to be rewritten in exponent form and others require some simple algebraic manipulation first.
Instructions
Print off the twenty question pages and put them up around the room
Each question is in the middle of the page and the solution is at the top of another page.
Answers are correct to two decimal places where appropriate
A student begins on a given question, solves it and finds the answer on another sheet. The question on this sheet will be the next question they answer. Once they have answered all twenty, they will return to their starting question
Depending on numbers, students can all start on different questions
There is a student answer sheet included plus the correct sequence
Differentiation to find local max/min
A worksheet using the first and second derivatives to find stationary points. Mainly maximum and minimum but does have a couple of examples of stationary points of inflection. All curves are functions involving powers of x.
*Points of inflection will be looked at in more detail in an upcoming shapes of curves worksheet/activity.
Answers are included as detailed work solutions. Black and White version included
Introduction to Integration Lesson
This calculus lesson introducing integration with the power rule
A lesson practising introducing integration as a reverse of differentiation.
PowerPoint encourages students to devise the general rule for powers
36 questions of increasing difficulty
Simplification of rational expressions required in later questions.
Worked solutions are included
Black and white and color versions included
LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable, meaning they cannot be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses.
COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.
Integration - Finding the Equation of a Curve
This lesson on an application of integration where students are required to find the equation of the function, given its derivative. (Power rule only)
A lesson using integration to find the equation of a curve when you are given the gradient and an initial value
A single PowerPoint slide with a worked example
17 questions of increasing difficulty
Worked solutions are included
Black and white and colour versions included
LICENSING TERMS: This purchase includes a license for one teacher only for personal use in their classroom. Licenses are non-transferable, meaning they cannot be passed from one teacher to another. No part of this resource is to be shared with colleagues or used by an entire grade level, school, or district without purchasing the proper number of licenses.
COPYRIGHT TERMS: This resource may not be uploaded to the internet in any form, including classroom/personal websites or network drives, unless the site is password protected and can only be accessed by students.