9000063303 | math4u.vsb.cz

Podoblast:

Derivace funkce

Část:

Project ID:

9000063303

Accepted:

1

Derivace funkce

f : y = \sqrt{\sin x}

je rovna:

f^{'} (x) = \frac{\cos x}{2 \sqrt{\sin x}}, x \in ⋃_{k \in Z} (2 k π; π + 2 k π)

f^{'} (x) = \frac{\sin x}{2 \sqrt{\cos x}}, x \in ⋃_{k \in Z} (2 k π; \frac{π}{2} + 2 k π)

f^{'} (x) = \frac{1}{2 \sqrt{\sin x}}, x \in ⋃_{k \in Z} (2 k π; π + 2 k π)

f^{'} (x) = \frac{\cos x}{2 \sqrt{\sin x}}, x \in ⋃_{k \in Z} ⟨ 2 k π; \frac{π}{2} + 2 k π ⟩