For the function \( f(x)=-6 x^{2}+7 x-1 \), what would the maximum or a minimum be? Enter your answer as a fraction \( \times \) Incorrect. Use \( -\frac{b}{2 a} \) to find the \( x \)-value. Then watch your negatives as you substitute it into \( f(x) \).

5.- Realiza la siguiente derivada logaritmica con base diferente a) \( \log _{9}\left(9 x^{3}-5\right) \)

4) \( \int \frac{3 x-1}{3 x^{2}-2 x} d x= \)

2) \( \lim _{x \rightarrow 0}\left(\frac{1}{x \sqrt{1+x}}-\frac{1}{x}\right)= \)

If \( z=x \cdot f\left(\frac{y}{x}\right)+y\left(\frac{y}{x}\right) \cdot S \cdot T \cdot \cdot x \frac{\partial z}{\partial x}+ \) \( y \cdot \frac{\partial z}{\partial y}=x \cdot f(y / x) \)

\( y ^ { \prime } ( x ) = \frac { ( u - 3 ) ^ { 2 } } { u ^ { 2 } - 7 u + 10 } \)