1.GRADIENT OF A CURVE
2.DIFFERENTIATING POWER FUNCTIONS
3.DIFFERENTIATING COMPOSITE FUNCTIONS
4.DIFFERENTIATING TRIG FUNCTIONS
5.DIFFERENTIATING EXP AND LOG FUNCTIONS
6.DIFFERENTIATING RECIPROCAL AND INVERSE FUNCTIONS
7.PRODUCT AND QUOTIENT RULE
8.DIFFERENTIATING PARAMETRIC FUNCTIONS
9.STATIONARY POINTS
10.TANGENTS AND NORMALS
11.RATES OF CHANGE
12.RELATED RATES OF CHANGE
13.OPTIMISATION
14.IMPLICIT DIFFERENTIATION
15.KINEMATICS
16.CONTINUITY AND DIFFERENTIABILITY
17.DIFFERENTIATION BY FIRST PRINCIPLES
18.LIMITS AND L'HOPITAL RULE
19.MEAN VALUE THEOREM
20.GRADIENT FUNCTION
21.INFLECTION AND CONCAVITY
22.FEATURES OF A GRAPH
The Unit 11 Resource Bundle Get your classroom time back with materials designed for the thinking process.
✅ 22 Printable Worksheets
✅ Complete Worked Solutions
✅ Delivered via Email (PDF)
A Note from the Creator: I’ve priced this bundle at $9.99, roughly the cost of two cups of coffee. While the caffeine keeps me fueled to build these courses between my own teaching shifts, these PDFs are here to help you stop racing the bell and start mentoring again.
Differential Calculus
• Covers: This comprehensive module provides an in-depth exploration of differential calculus. It starts with core differentiation techniques, covering power, composite, trigonometric, exponential, logarithmic, reciprocal, and inverse functions, along with the product, quotient, and chain rules. The module then delves into applications of derivatives, including finding stationary points, tangents and normals, rates of change (including related rates), optimization problems, implicit differentiation, and kinematics. Finally, it introduces advanced concepts such as continuity and differentiability, differentiation by first principles, limits and L'Hôpital's Rule, the Mean Value Theorem, gradient functions, and analyzing inflection points and concavity to understand graph features.
• Outcomes: Master differentiation techniques for a wide range of functions, including composite, trigonometric, exponential, logarithmic, reciprocal, and inverse functions. Confidently apply the product, quotient, and chain rules. Solve problems involving stationary points, tangents, normals, and various rates of change. Utilize differentiation for optimization problems and in kinematics. Apply implicit differentiation. Understand foundational concepts like continuity, differentiability, and limits (including L'Hôpital's Rule). Analyze graph features using derivatives, including inflection points and concavity.
TESTIMONIAL
"I enjoyed the structure of the questions and answers, and the quantity of questions that were available in order to practise the skills that I attained. I gained an understanding of algebra and calculus from a different angle than ways that I have been taught by previous teachers. Anyone who is looking to achieve in algebra and calculus and cannot attend school for any reason should definitely enroll in this course"
🎓 Q. C. – Year 12 Student
