2.2.61 Derivatives and differentials
Condition: Write the equations of the tangent and normal to the implicitly specified curve \( F(x ; y)=0 \), passing through the point \( (x ; y) \), the coordinates of which satisfy the given conditions. \[ x^{5}+2 y^{2}=9,(x=1, y>0) \]
Calculation of derivatives and differentials of first and higher orders of functions of one and many variables, including partial derivatives.