pdf, 93.3 KB
pdf, 93.3 KB

A worksheet on differentiating logarithmic functions. Detailed solutions are included.

Master differentiating logarithmic functions with this comprehensive, print-and-go A-Level Mathematics resource! Perfect for Year 13 Pure Maths students, this activity contains 20 carefully scaffolded questions complete with a step-by-step, fully worked mark scheme. Help your students build confidence using natural logarithms, alternative bases, chain rule, product rule, and quotient rule applications.

Save time planning and give your students the exact practice they need to master the calculus of logarithmic functions!
This ready-to-print resource features 20 carefully curated questions designed to take students from foundational log laws to advanced differentiation techniques. It covers natural logarithms (ln) and logs of varying bases, seamlessly blending in the chain, product, and quotient rules. Whether you are looking for a rigorous homework assignment, independent revision, or a structured in-class activity, this pack has you covered.

What’s Included:
• 20 High-Quality Questions: Covers basic natural logs, arbitrary bases (such as log base 2, 3, 7, and 8), trigonometric log functions, and complex algebraic fractions.
• Fully Worked Mark Scheme: A comprehensive, step-by-step breakdown of solutions is provided for every single question—perfect for quick teacher assessment or independent student self-checking!
• Clean, Organized Layout: Clearly structured questions give students an excellent framework to organize their mathematical working.

Curriculum & Exam Board Alignment:
• A-Level Mathematics (Year 13): Explicitly maps to the calculus, differentiation rules, and logarithmic functions criteria across all major UK exam boards including Edexcel, AQA, OCR, and OCR MEI.
• Advanced Higher / International Baccalaureate (IB): Ideal for higher-level analysis, calculus techniques, and mathematical methods.

Ways to Use This Resource in Your Classroom:
• Independent Homework: Reinforce your daily lesson with targeted skill practice.
• Revision & Exam Prep: Excellent for structured unit reviews ahead of mocks or final A-Level examinations.
• Collaborative Group Work: Perfect for getting students to pair up, solve, and compare their differentiation steps.
• Cover Lessons: Clear layouts and a complete step-by-step mark scheme make this an incredibly low-maintenance resource to hand over for a cover class.

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A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Bundle

Calculus Derivatives of Exponential and Logarithmic Functions Bundle

Master advanced core derivatives with this no-prep calculus bundle! Features 3 comprehensive worksheets covering differentiation of exponential functions (e^x), natural logs (ln x), variable bases, trigonometric chain rules, and full worked answers. Perfect for A-Level Mathematics! ________________________________________ Looking for a clear, thorough resource to help your sixth-form classes master calculus mechanics? This printable Differentiation of Exponential and Logarithmic Functions Bundle contains 3 independent worksheets designed to help your A-Level Mathematics, Further Maths, or advanced university-bound students confidently evaluate derivatives, apply product/quotient properties, and clear calculus expansions. By dividing structures around explicit calculus tracks—moving from standard base-e exponential lines and log variables into composite chain loops, trigonometric arguments, and nested fractional logarithms—this bundle allows students to cement their analytical mechanics systematically. It serves as an excellent end-of-unit study guide, targeted homework series, cover work extension, or formal exam revision packet. This is a no-prep, printable PDF resource bundle, meaning you can simply download, print, and hand it straight to your classes! It is excellent for deep-dive independent practice, extension tasks, or cover lessons. ________________________________________ **What’s Included?** • **3 Independent Student Practice Worksheets:** Progressive calculus problem sheets covering the full spectrum of exponential derivative properties and logarithmic expansions. • **Complete, Step-by-Step Solutions Guides:** A comprehensive marking layout displaying every stage of chain distribution, quotient rules expansions, base updates, and algebraic factoring adjustments. Perfect for quick teacher marking or student self-assessment! ________________________________________ **Comprehensive Tiers Covered** • **Exponential Differentiation:** Calculating rates of change across e^x curves and variable integer bases. • **Logarithmic Differentiation:** Expanding and resolving complex derivatives for natural logs (ln x) and alternative log bases. • **Product and Quotient Applications:** Managing calculations where transcendental functions multiply or divide across fractions. • **The Chain Rule System:** Expanding nested powers, radicals, and trigonometric inputs bound to exponential layouts.

£3.90

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