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Assignment #1Mathematics (Grade 11) • Class 11
Assignment Set 2: First Principles, Differentiation Rules & Optimization
Provide comprehensive analytical solutions using formal limit evaluations and algebraic rigor for all problems.
Weightage: 20 MarksSuggested Duration: 60 Mins
Part 2.a (5 Marks)Verified Result ✓
Step-by-Step Solution:
Result: f'(x) = -3 sin(3x)
Part 2.b (5 Marks)Verified Result ✓
Step-by-Step Solution:
Result: dy/dx = x^(sin x) [cos x ln x + (sin x)/x]
Part 2.c (5 Marks)Verified Result ✓
Step-by-Step Solution:
Result: Tangent: 9x - y - 14 = 0; Normal: x + 9y - 38 = 0
Part 2.d (5 Marks)Verified Result ✓
Step-by-Step Solution:
Result: The two parts are 40/3 and 20/3