A worksheet on differentiating using the basic rules for functions that are powers of a variable or sums of powers of a variable. Detailed solutions are provided. Good for GCSE/IGCSE students.
Get this resource as part of a bundle and save up to 56%
A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.
Bundle
Intro to Derivatives, Turning Points & Kinematics Calculus Bundle GCSE 9-1
A collection of 5 worksheets on Calculus based on the GCSE 9-1 specification. In these worksheets students are taught to understand the concept of a variable rate of change, differentiate integer powers of x, determine gradients, rates of change, stationary points, turning points (maxima and minima) by differentiation and relate these to graphs, distinguish between maxima and minima by considering the general shape of the graph and apply calculus to linear kinematics and to other simple practical problems). Detailed solutions are included. Master differentiation, turning points, and kinematics with this complete calculus worksheet bundle! Perfectly optimized for GCSE Further Maths, IGCSE, and AS-Level Pure Mathematics revision, this print-and-go pack covers the power rule, curve gradients, velocity, and acceleration with full step-by-step worked solutions. ________________________________________ Looking for a rigorous, print-and-go resource to help your secondary and sixth-form students master the fundamentals of calculus? This GCSE 9-1 & AS-Level Introduction to Calculus & Kinematics Bundle contains a comprehensive set of structured practice problems designed to build fluency and algebraic confidence. Moving from basic power rule applications to multi-step particle motion and stationary point proofs, this resource is perfect for formal classroom lessons, independent exam revision, structured homework assignments, cover work, or university preparation! Every question includes an uncrowded, student-friendly layout and comes paired with a complete, step-by-step worked solution key showing every single algebraic step, index law conversion, and derivative rule required to find the final answers. ________________________________________ **What's Included in This Practice Pack?** • **The Power Rule & Index Laws:** Extended practice differentiating standard polynomials alongside functions requiring manipulation of negative and fractional indices (e.g., handling variables in denominators or under radicals). • **Gradients of Curves:** Calculating the exact gradient of a curve at a specified coordinate point, or finding coordinates matching a given slope value. • **Stationary Points (Turning Points)**: Solving equations where the rate of change is zero (dy/dx = 0) to locate turning point coordinates, alongside identifying maximum or minimum turning states. • **Calculus Kinematics (Particle Motion):** Multi-step contextual problems analyzing position/displacement equations to derive velocity (v = ds/dt) and acceleration (a = dv/dt) expressions, including solving for exact displacement and time criteria. ________________________________________ **Perfect For:** • GCSE Further Maths / IGCSE Additional Maths: High-tier extension work and rigorous preparation for upper-level secondary exams. • AS-Level Mathematics (Year 12): Targeted Pure Maths and Mechanics practice for students laying down foundational calculus skills. • Cover Lessons & Homework: Structured, self-explanatory layout that requires zero preparation from you or a cover teacher. ________________________________________
£3.90
Bundle
Differentiation Basic Rules Worksheets | Calculus Power Rule Activity & Keys
A collection of three worksheets on differentiating using the basic rules for functions that are constant, powers of a variable or sums of powers of a variable, products of a constant and another function, products or quotients of two functions. The two worksheets are on functions that are powers of a variable or sums of powers of a variable and the third is on all the above rules. Detailed solutions are provided. Master the Power Rule with 48 A-Level differentiation practice questions across 4 worksheets with full step-by-step solutions. Ideal for KS5 Pure Maths. ________________________________________ Looking for a no-prep, highly effective way for your students to master foundational calculus and differentiation rules? This comprehensive set of Differentiation Basic Rules Worksheets is designed to build absolute confidence in foundational calculus skills. Whether you need a structured homework assignment, targeted classroom practice, an independent revision task, or reliable cover work, this resource eliminates your preparation time while giving students rigorous, focused practice. ________________________________________ **What’s Included in This Resource?** This download contains 4 structured practice pages featuring a total of 48 problems, carefully scaffolded from simple integers to rational and fractional expressions: • **Worksheets 1 & 2 (24 Questions):** Focused on basic power rule applications, constants, sums, and linear combinations. Includes functions requiring algebraic manipulation before differentiating (e.g., dividing terms by x or expanding basic brackets). • **Worksheets 3 & 4 (24 Questions):** Advanced basic rules practice including negative indices, fractional indices, radical expressions, and expanding binomial brackets prior to differentiation. • **Complete Answer Keys**: Features fully worked-out, step-by-step solutions for every single problem. Perfect for student self-assessment or quick, stress-free marking for you! ________________________________________ **Core Skills & Concepts Covered** • Applying the Power Rule to positive, negative, and fractional indices. • The Constant, Sum, and Difference Rules. • Algebraic manipulation (rewriting fractions and surds as negative or rational exponents before taking the derivative). • Expanding brackets and distributing variables before differentiating. ________________________________________ **Perfect For:** • A-Level Mathematics students learning the fundamentals of Core/Pure Calculus. • Key Stage 5 (KS5) Year 12 or Year 13 classroom practice and homework packets. • Advanced GCSE / Further Maths extension work for high-ability students. • Independent Revision, Exam Prep, or Homework assignments. • Emergency Cover Lesson Plans (the step-by-step keys mean any cover teacher can run the class smoothly!). ________________________________________ **Curriculum Alignment** • UK National Curriculum / Exam Boards: Aligns perfectly with the Pure Mathematics differentiation specifications across AQA, Edexcel, OCR, and OCR MEI (Focusing on the derivative of x to the power of n, constant multiples, sums, and differences). • International Curricula: Highly applicable for Cambridge International (CIE) AS-Level Pure Mathematics 1.
£3.35
Bundle
8 Worksheets with GCSE/IGCSE style questions (with solutions)
Eight worksheets involving questions on various topics from the GCSE/IGCSE syllabus.
£6.90
Bundle
Calculus Bundle
A collection of three worksheets introducing students to calculus. The first two are on differentiating using the basic rules for functions that are powers of a variable or sums of powers of a variable. The third is on applications of differentiation and includes word problems. Detailed solutions are included.
£3.45
Bundle
Differentiation for GCSE/IGCSE worksheets (with solutions)
A collection of four worksheets on differentiation. The questions require the use of basic rules for functions that are powers of a variable or sums of powers of a variable and application of differentiation to problems on kinematics. Detailed solutions are included.
£3.80
Something went wrong, please try again later.
This resource hasn't been reviewed yet
To ensure quality for our reviews, only customers who have purchased this resource can review it
Report this resourceto let us know if it violates our terms and conditions.
Our customer service team will review your report and will be in touch.
£1.95