Differentiation Maths Genie Answers

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WEB IGCSE Differentiation

Introduction

Videos and Resources

For the full list of videos, visit the following links:

• WEB Pure 1 Ch12 - Differentiation with Coordinate Geometry
• WEB Pure 1 Ch12 - Differentiation and Modelling

Differentiation Practice Problems

1. $$\int 4x^3 - 6x^2 + 5x + 1 \, dx$$

   Solution: $$x^4 - 2x^3 + \frac{5x^2}{2} + x + C$$

2. $$\int 4x^2 - 2x + 7 \, dx$$

   Solution: $$\frac{4x^3}{3} - x^2 + 7x + C$$

3. $$\int \frac{5x^3 - 30x}{x} \, dx$$

   Solution: $$5x^2 - 30 \ln{|x|} + C$$

4. $$\frac{dy}{dx} = -7x^6$$

   Solution: $$y = -x^7 + C$$

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