Drill: Problem 1 (8 points). Compute each of the following derivatives.Follow the Chain Rule template exactly, showing all steps. There is no need to explain your work. \text { (a)

} \frac{d}{d t}\left(1000\left(2^{t / 5}\right)\right) \text { (b) } \frac{d}{d \theta}\left(\cos ^{5}(3 \theta)\right) \text { (c) } \frac{d}{d w v}(w \tan (4 \sqrt{w})) \text { (d) } \frac{d}{d x}\left(x^{2} e^{-3 x}\right)