MathProblemsBank

2.3.18 Gradient and directional derivative

Problem: Calculate the derivative of function \( f(x, y)=x^{3}+2 x^{2} y+2 \) at point \( A(2 ; 2) \quad \) in the direction of vector \( \overrightarrow{A B} \), where \( B=(4 ; 2) \).