What is "Ta'arog"?
Rashi: This refers to the voice of an Ayal (wild goat), just like Naham (roaring) applies to lions, Tziftzuf to birds
Rashi: This cannot be!
Ayal is a male. Why does it say Ta'arog (feminine)?
Rashi: The male moans about water (refer to 43:2:3:1). The female screams when it crouches to give birth, and Hashem has mercy on it.
Radak #1: Ayal is a Klal; it includes males and females, just like "va'Yhi Li Shor va'Chamor" (Bereishis 32:6). The feminine refers to the Edah (congregation) of Ayalim, just like "va'Tehi Yisrael" (Shmuel II, 24:9), for Ayalim go together in herds in the forest.
Radak #2: It says "Ta'arog", for the female screams more than the male.
What is the comparison to an Ayal on springs?
Rashi (from Shocher Tov 22:14): When Chayos are thirsty, they go to the Ayal, that it will lift its eyes [to Shamayim]. It digs a pit, enters its horns in it and moans; Hashem has mercy on it, and water ascends from the depth.
Radak #1: Ayalim are in the Midbar, where water is not found; they thirst for water. Also, they eat snakes and become hot; they seek water to cool off. Afikei Mayim are places where water flows strongly. "Al Afikei Mayim" is like El. There are many verses like this.
Radak #2: When hunting dogs chase Ayalim, they go until they find deep rivers; they enter them, tired, and they are saved.
Malbim: The nature of Ayalim is to be thirsty. Also, they eat poisonous roots, and seek water to extinguish the poison 1 in water. Just like they moan for water and desire it, so my Nefesh yearns for You - for Giluy Shechinah, Nevu'ah and Ru'ach ha'Kodesh, like in days of old.
Rashi (Bamidbar 21:6): Snake venom burns.