task/29692156 Найдите дифференциал функции y = 1 / (3x² + 4x )⁸ . ----------------------------
dy = y ' *dx
y ' =( 1 / (3x² + 4x )⁸ ) ' = ( ( 3x² + 4x )⁻⁸ ) ' = - 8*( 3x² + 4x )⁻⁹ *( 3x² + 4x) ' =
- 8*( 3x² + 4x )⁻⁹ *( 6x + 4) = - 16(3x + 2) / ( 3x² + 4x )⁹ .
dy = [- 16(3x + 2) / ( 3x² + 4x )⁹ ] dx .
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task/29692156 Найдите дифференциал функции y = 1 / (3x² + 4x )⁸ . ----------------------------
dy = y ' *dx
y ' =( 1 / (3x² + 4x )⁸ ) ' = ( ( 3x² + 4x )⁻⁸ ) ' = - 8*( 3x² + 4x )⁻⁹ *( 3x² + 4x) ' =
- 8*( 3x² + 4x )⁻⁹ *( 6x + 4) = - 16(3x + 2) / ( 3x² + 4x )⁹ .
dy = [- 16(3x + 2) / ( 3x² + 4x )⁹ ] dx .