Project ID:
7200020150
Accepted:
Typ:
Layout:
Question:
Parowanie funkcji $f$ z jego pochodną $F$.
Questions Title:
Funkcja $f$
Answers Title:
Pochodna $F$
Question 1:
$$f(x) = \sqrt{x} + \sqrt[4]{x}$$
Answer 1:
$$F(x) = \frac{2\sqrt{x^3}}{3} + \frac{4 \sqrt[4]{x^5}}{5}$$
Question 2:
$$f(x) = \frac{x + 1}{\sqrt{x}}$$
Answer 2:
$$F(x) = \frac{2\sqrt{x^3}}{3} + 2\sqrt{x}$$
Question 3:
$$f(x) = \sqrt{x}(1 + \sqrt[3]{x})$$
Answer 3:
$$F(x) = \frac{2\sqrt{x^3}}{3} + \frac{6 \sqrt[6]{x^{11}}}{11}$$
Question 4:
$$f(x) = \frac{4 − x}{2 − \sqrt{x}}$$
Answer 4:
$$F(x) = \frac{2\sqrt{x^3}}{3} + 2x$$
Answer 5:
$$F(x) = \frac{\sqrt{x^3}}{3} + 2\sqrt{x}$$
Answer 6:
$$F(x) = \frac{\sqrt{x^3}}{6} + 2x$$