Increasing & Decreasing Functions | Tangent & Normal Visual | Class 12 Maths #12thmaths #calculus

Increasing & Decreasing Functions | Tangent & Normal Visual Explained | Class 12 Maths

Master increasing/decreasing intervals and tangent/normal equations visually in 60 seconds! Perfect for Class 12 CBSE, NCERT, JEE & Board Exam 2026.

⏱️ TIMESTAMPS:
0:00 - Increasing Function: f'(x) 0 (Tangent makes acute angle)
0:12 - Decreasing Function: f'(x) 0 (Tangent makes obtuse angle)
0:24 - Constant Function: f'(x) = 0 (Tangent parallel to x-axis)
0:32 - Tangent Equation: y - y₁ = f'(x₁)(x - x₁)
0:42 - Normal Equation: y - y₁ = -1/f'(x₁)(x - x₁)
0:52 - Key Relation: Slope of Normal = -1/(Slope of Tangent)

📚 TOPICS COVERED:
• Increasing Function Test (f'(x) 0)
• Decreasing Function Test (f'(x) 0)
• Constant Function (f'(x) = 0)
• Tangent Line Equation
• Normal Line Equation
• Slope of Tangent & Normal Relation
• Angle Between Tangent & x-axis

🎯 FOR:
• CBSE Class 12 Students
• NCERT Maths Chapter 6 (Applications of Derivatives)
• JEE Main & Advanced Aspirants
• Board Exam 2026 Preparation

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Видео Increasing & Decreasing Functions | Tangent & Normal Visual | Class 12 Maths #12thmaths #calculus канала MAGPIEHUB