Question

Вычислить производную

Answer 1

1. $f'(x) = -\frac{\sqrt{x} }{x^{2} } + \frac{1}{x*2\sqrt{x} }$

2. $f'(x) = \frac{\frac{5^x}{xln5}*(x^2+2) - 5^x*2x }{(x^2+2)^2} = \frac{5^x(x^2+2-2x)}{ln5*(x^2+2)^2}$

3. $f'(x) = \frac{(6x-4)*sinx - (1+3x^2-4x)*cosx}{sin^2x}$