Mathematic Problems

246. példa

y = 5 \ln x + 3 \ln 2 x

y = 5 \ln x + 3 \ln 2 x

g = 2 x \Rightarrow g' = 2 \Rightarrow \ln x = \ln g

y' = \frac{5}{x} + 3 \cdot \frac{1}{g} \cdot g'

y' = \frac{5}{x} + 3 \cdot \frac{1}{2 x} \cdot 2

y' = \frac{5}{x} + \frac{3}{x}

y' = \frac{8}{x}

y' = \frac{8}{x}

Matematika - Képlettár