f (x) = 2 * x ^ 7 + 4 * √ x = 2 * x ^ 7 + 4 * x ^ ( 1 / 2);производная f (x) = (( 2 * x ^ 7 + 4 * x ^ ( 1 / 2) )` = ( 2 * x ^ 7) ` + (4 * x ^ ( 1 / 2) )` = 2 *( x ^ 7) ` + 4 *( x ^ ( 1 / 2) )` = 2 * 7 * x ^ ( 7 - 1) + 4 * 1 / 2 * x ^ ( 1 / 2 - 1) = 14 * x ^ ( 7 - 1) + 4 / 2 * x ^ ( 1 / 2 - 1) = 14 * x ^ 6 + 2 * x ^ ( 1 / 2 - 1) = 14 * x ^ 6 + 2 * x ^ ( 1 / 2 - 2 / 2 ) = 14 * x ^ 6 + 2 * x ^ ( ( 1 - 2 ) / 2) = 14 * x ^ 6 + 2 * x ^ ( ( - 1 ) / 2) = 14 * x ^ 6 + 2 * 1 / x ^ ( 1 / 2 ) = 14 * x ^ 6 + 2 * 1 / √;