2.2.57 Derivatives and Differentials
Condition: Find the first \ (d y / d x \) and the second \ (\ left (d^{2} y \ right) / \ left (d x^{2} \ right) \) derivatives set parametric: \ [[ \ left \ {\ begin {array} {l} x = 1-t^{2} \\ y = t^{4} -8 t \ end {array} \ right. \]
Calculation of derivatives and differentials of first and Higher Orders of Function of One and Many Varia Bybles, Including Partial Derivatives.