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Mathematics Worksheet
📏 Rules of Differentiation
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Apply the power, constant, and sum/difference rules.Differentiate products using the product rule.Differentiate quotients using the quotient rule.Recall the derivatives of e^x, ln x, sin x and cos x.🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1d/dx[7x4 − 3x2 + 5] = ?
2The product rule d/dx[uv] equals:
3d/dx[10] = ?
4The quotient rule d/dx[u/v] equals:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5d/dx[xn] = .
6d/dx[e^x] = .
7Differentiate f(x) = 7x4 − 3x2 + 5.
8Differentiate f(x) = 10.
9Differentiate f(x) = x3·e^x (product rule).
🚀 Section C · Challenge ● CHALLENGE 5
10Differentiate f(x) = sin(x)/x (quotient rule).
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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1-A 2-B 3-C 4-A | 5 n·xn−1 6 e^x 7 = 28x3 − 6x 8 = 0 9 = 3x2e^x + x3e^x | 10 = (x·cos x − sin x)/x2