\( y=5(4)(3x^{2}-2x)^{4-1}\frac{d}{dx}(3x^{2}-2x) \)

The marginal cost of a product can be thought of as the cost of producing one additional unit of output. For example, if the marginal cost of producing the 50 th product is \( \$ 6.20 \), it cost \( \$ 6.20 \) to increase production from 49 to 50 units of output. Suppose the marginal cost \( C \) (in dollars) to produce \( x \) thousand mp3 players is given by the function \( C(x)=x^{2}-140 x+8800 \). A. How many players should be produced to minimize the marginal cost? B. What is the minimum marginal cost? A. To minimize the marginal cost, \( \square \) thousand mp3 players should be produced. B. The minimum marginal cost is \( \$ \square \).

5. El resultado de: A) \( 5 / 3 \operatorname{sen} 3 x+C \) B) \( -3 / 5 \operatorname{sen} 3 x+C \) C) \( 1 / 3 \operatorname{sen} 3 x+C \)

Suppose that the functions \( u \) and \( w \) are defined as follows. \( \begin{array}{l}u(x)=-5 x+1 \\ w(x)=-x+5\end{array} \) Find the following. \( \begin{array}{l}(w \circ u)(1)=\square \\ (u \circ w)(1)=\square\end{array} \)

8.- Resolver por Integración por fracciones parciales \( \int \frac{1}{x^{2}-4} d x \) Opciones: a) \( \frac{1}{2} \ln |x-2|-\frac{1}{2} \ln |x+2|+C \) b) ln \( |x-2|-\ln |x+2|+C \) c) \( \frac{1}{2} \ln |x+2|-\frac{1}{2} \ln |x-2|+C \) d) \( \left.{ }^{\frac{1}{2}} \ln \left|x+2+\frac{1}{2} \ln \right| x-2 \right\rvert\,+C \)

\( \int _{}^{} d m \)