MathProblemsBank

3.4․20 Tangents and normals

condition: Find the equation of the tangent to the graph of the function \( y=x^{2}+a x+b \) passing through the point \( A\left(x_{A}, y_{A}\right) \) Make a drawing. \begin{tabular}{|c|c|c|c|} \hline\( A \) & \( b \) & \( x_{A} \) & \( y_{A} \) \\ \hline-10 & 1 & 0 & 1 \\ \hline \end{tabular}

Solving problems in three-dimensional space using tangents and normals, both straight lines and planes.

-> Tangents and normals