Question

F(x) = √(tanx) + √(sinx)|³|²

Answer 1

$$F(x)=\sqrt{\tan(x)}+\sqrt[3]{\sin^2(x)}$$

$$F'(x)={1\over 2\sqrt{\tan(x)}}(\tan(x))'+{2\over 3\sqrt[3]{\sin(x)}} (\sin(x))'=$$

$$={1\over 2\cos^2(x)\sqrt{\tan(x)}}+{2\cos(x)\over 3\sqrt[3]{\sin(x)}}$$