Объяснение:
2x + 1/x^2
2e^x + 5/√x
6y^5 * sinx + y^6 * cosx
2x^4 + (8x + 12) * x^3
-5x^14
( (4x^3 + 2x)(x+1) - (x^4 + x^2 + 1) ) / (x+1)^2 = ( (4x^4 + 4x^3 + 2x^2 + 2x - x^4 - x^2 - 1) ) / (x+1)^2 = (3x^4 + 4x^3 + x^2 + 2x - 1) / (x+1)^2
√(2x - 3) = ( 1 / 2*√(2x - 3) ) * 2 = 1 / √(2x - 3)
Объяснение:
2x + 1/x^2
2e^x + 5/√x
6y^5 * sinx + y^6 * cosx
2x^4 + (8x + 12) * x^3
-5x^14
( (4x^3 + 2x)(x+1) - (x^4 + x^2 + 1) ) / (x+1)^2 = ( (4x^4 + 4x^3 + 2x^2 + 2x - x^4 - x^2 - 1) ) / (x+1)^2 = (3x^4 + 4x^3 + x^2 + 2x - 1) / (x+1)^2
√(2x - 3) = ( 1 / 2*√(2x - 3) ) * 2 = 1 / √(2x - 3)