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Last updated

26 August 2026

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

Master differentiating exponential and logarithmic functions with this comprehensive, print-and-go A-Level Mathematics resource! Perfect for Year 13 Pure Maths students, this activity contains 30 carefully scaffolded questions complete with a step-by-step, fully worked mark scheme. Help your students build confidence using base-e, natural logs, alternative bases, chain rule, product rule, and quotient rule applications.

Save time planning and give your students the ultimate practice pack to master the calculus of exponential and logarithmic functions!
This ready-to-print resource features 30 highly targeted questions designed to build fluid procedural fluency with transcendental differentiation. It covers natural bases (e^x and ln x) along with alternative bases (such as log base 3, 5, 7, and numerical bases like 2^x and 4^x), while systematically incorporating the chain, product, and quotient rules. Whether you need a comprehensive homework booklet, multi-day revision pack, or an intensive exam preparation resource, this 30-question pack has you covered.

What’s Included:
• 30 High-Quality Questions: Covers natural logarithms (ln), variable log bases, natural exponential functions, non-e exponential bases, fractional/negative indices, trigonometric variations, and nested composite functions.
• Fully Worked Mark Scheme: A comprehensive, step-by-step breakdown of solutions is provided for all 30 questions—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 transcendental 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 Packet: Break the 30 questions across multiple assignments to reinforce daily lessons.a
• 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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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.

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Calculus Derivatives of Exponential and Logarithmic Functions Bundle

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