Calcule la derivada de \( y = \sin(2x^3) \) aplicando la regla de la cadena.

2) \( \frac{d 2^{8 x}}{d x}= \)

Factor. \[ x^{2}+5 x-24 \]

Determine el cociente y el resto de la división de \( p(x)=3 x^{4}-10 x^{3}+8 x^{2}+3 x-2 \) en \( q(x)=3 x^{2}-4 x \)

C. \( \lambda=c / v \) D. \( \lambda=v / c \) E. \( \lambda=c-v \) In an investigation of the electronic absorption spectrum of a particular element, it is found at a photon having \( \lambda=500 \mathrm{~nm} \) provides just enough energy to promote an electron from the cond quantum level to the third. From this information, we can deduce A. The difference in energies between \( n=2 \) and \( n=3 \) B. The energy of the \( n=3 \) level C. The sum of the energies of \( n=2 \) and \( n=3 \) D. The energy of the \( n=2 \) level E. None of these

Factor the expression completely over the complex numbers. \( y^{4}+14 y^{2}+49 \) Enter your answer in the box.