Use implicit differentiation to find dy/dx. 3ey+4x2- 32 -11

Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

Use implicit differentiation to find d²y dx² = d²y dx² if 3x² - 2y² = 5.

A duck's flight is given by the following expression: y = x^2 + x + 4. X and y are coordinates of its flight. When x = 2, the duck takes a hit and thereafter its flight follows the trajectory of a tangent line. What is the coordinate when x=4.