In this guide, we'll walk through Find f'(x) if f(x) = 4x⁵ - 3x³ + x step by step. Whether you're revising for an exam or practising derivatives, this clear walkthrough will help you understand not just the answer, but the reasoning behind every step.
f'(x) = 20x⁴ - 9x² + 1
Step 1: d/dx(4x⁵) = 20x⁴
Step 2: d/dx(-3x³) = -9x²
Step 3: d/dx(x) = 1
This problem uses derivatives. The key idea is to perform the same operation on both sides to keep the equation balanced. Each step brings you closer to isolating the unknown variable.
Derivatives is a fundamental concept in math. Mastering it gives you a strong foundation for more advanced topics.
❌ Mistake 1: Forgetting to apply the same operation to both sides of the equation.
❌ Mistake 2: Making sign errors when moving terms across the equals sign.
❌ Mistake 3: Not simplifying the final answer completely.
f'(x) = 20x⁴ - 9x² + 1
This problem uses derivatives. The key idea is to perform the same operation on both sides to keep the equation balanced. Each step brings you closer to isolating the unknown variable.
Forgetting to apply the same operation to both sides of the equation.
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