1) Первая производная функции 3√x2−8x^2 - 8x2−8:fxxx = 3√x2−8x^2 - 8x2−8
f'xxx = 1/31/31/3x2−8x^2 - 8x2−8^−2/3-2/3−2/3 * 2xf'xxx = 2x / 3(x2−8)(2/3)3(x^2 - 8)^(2/3)3(x2−8)(2/3)
2) Первая производная функции 1/x^6 + 3/x^4 - 9:fxxx = 1/x^6 + 3/x^4 - 9
f'xxx = -6/x^7 - 12/x^5f'xxx = -6/x^7 - 12/x^5
1) Первая производная функции 3√x2−8x^2 - 8x2−8:
fxxx = 3√x2−8x^2 - 8x2−8
f'xxx = 1/31/31/3x2−8x^2 - 8x2−8^−2/3-2/3−2/3 * 2x
f'xxx = 2x / 3(x2−8)(2/3)3(x^2 - 8)^(2/3)3(x2−8)(2/3)
2) Первая производная функции 1/x^6 + 3/x^4 - 9:
fxxx = 1/x^6 + 3/x^4 - 9
f'xxx = -6/x^7 - 12/x^5
f'xxx = -6/x^7 - 12/x^5