pochodne d4mian: Oblicz pochodne 1.f(x) = x* e^−x 2. f(x) = ⁴√15,96

	x3
3. f(x) =
	x+2

4. f(x) = x*sin(2^x)

	1
5. f(x) =
	1−x2

6. f(x) = ln(0,99) 7. f(x) = x + ⁴_x 8. f(x) = e^x2* lnx

Martyna: 1. f'(x) = [x*e^−x ]' = [x]' * e^−x + x * [e^−x]' = 1 * e^−x + x * e^−x * (−1) =e^−x − x * e^−x = e^−x * (1−x)

Martyna: 6. z wzoru: (ln x)' = 1/x czyli: [ln 0,99]' = 1/0,99 = 1,01

Martyna: 5. f'(x) = [1/1−x²]' = 1 − x² +2x / (1−x²)²

Martyna: 3 zrób sobie analogicznie do 5, czyli ze wzoru: [f(x) / g(x)]' = f'(x)*g(x)−f(x)*g'(x) / g²(x)