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📘 UGTRB / PGTRB Maths – Directional Derivative Important Problem
In this video, we solve an important Vector Calculus problem from Directional Derivative which is very useful for UGTRB Mathematics, PGTRB Mathematics, and other competitive exams.
🔹 Problem:
Find the directional derivative of
φ = x²yz + 4xz²
at the point (1, −2, −1) in the direction of 2i − j − 2k.
🔹 Concepts Covered:
• Gradient Vector (∇φ)
• Directional Derivative Formula
• Unit Vector in a given direction
• Step-by-step exam method
📊 Final Answer:
Directional Derivative = 37 / 3
This type of problem is frequently asked in UGTRB / PGTRB exams, so understanding the step-by-step method will help you solve similar questions quickly.
📚 Useful for:
UGTRB Maths
PGTRB Maths
Vector Calculus
Competitive Exams Preparation
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