text: # MATH 2301-102 Fall 2018 Calculus I Recitation 5 Week 7
  
  See the coversheet for instructions and the point value of each problem.
  
  1. Compute the following derivatives:
  1. $$\displaystyle \frac{d}{dx} \left[3\sec(x)\right]=$$
  2. $$\displaystyle \frac{d}{dx} \left[x\csc(3)\right]=$$
  3. $$\displaystyle \frac{d}{dx} \left[3\tan(3)\right]=$$
  4. $$\displaystyle \frac{d}{dx} \left[x\cot(x)\right]=$$
  5. $$\displaystyle \frac{d}{dx}\left[\frac{\csc(x)}{3}\right]=$$
  6. $$\displaystyle \frac{d}{dx}\left[\frac{\sec(3)}{x}\right]=$$
  7. $$\displaystyle \frac{d}{dx}\left[\frac{\cot(3)}{3}\right]=$$
  8. $$\displaystyle \frac{d}{dx}\left[\frac{\tan(x)}{x}\right]=$$
  2. Compute the following derivatives:
  1. $$\displaystyle \frac{d}{dx} \left[(x^9+2x^{1/3}+5^x+3)^4\right]=$$
  2. $$\displaystyle y=(3+x^4)^8 x^3 \Rightarrow \frac{dy}{dx}=$$
  3. $$\displaystyle \frac{d}{dx} \left[ 5\tan(x^2 \sec(x^3+7x))\right]=$$
  4. $$\displaystyle \frac{d}{dx} \left[\cot\left( \frac{x^9+x^8+x^5+3}{1+2\cdot 2^x+x^3-4x^4}+1\right)\right]=$$
explanation: The document is a set of math problems from a Calculus I recitation. It contains multiple questions asking for the computation of derivatives. There are no provided answers to these questions.
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distilabel_metadata.role: system
distilabel_metadata.content: # MATH 2301-102 Fall 2018 Calculus I Recitation 5 Week 7
  
  See the coversheet for instructions and the point value of each problem.
  
  1. Compute the following derivatives:
  1. $$\displaystyle \frac{d}{dx} \left[3\sec(x)\right]=$$
  2. $$\displaystyle \frac{d}{dx} \left[x\csc(3)\right]=$$
  3. $$\displaystyle \frac{d}{dx} \left[3\tan(3)\right]=$$
  4. $$\displaystyle \frac{d}{dx} \left[x\cot(x)\right]=$$
  5. $$\displaystyle \frac{d}{dx}\left[\frac{\csc(x)}{3}\right]=$$
  6. $$\displaystyle \frac{d}{dx}\left[\frac{\sec(3)}{x}\right]=$$
  7. $$\displaystyle \frac{d}{dx}\left[\frac{\cot(3)}{3}\right]=$$
  8. $$\displaystyle \frac{d}{dx}\left[\frac{\tan(x)}{x}\right]=$$
  2. Compute the following derivatives:
  1. $$\displaystyle \frac{d}{dx} \left[(x^9+2x^{1/3}+5^x+3)^4\right]=$$
  2. $$\displaystyle y=(3+x^4)^8 x^3 \Rightarrow \frac{dy}{dx}=$$
  3. $$\displaystyle \frac{d}{dx} \left[ 5\tan(x^2 \sec(x^3+7x))\right]=$$
  4. $$\displaystyle \frac{d}{dx} \left[\cot\left( \frac{x^9+x^8+x^5+3}{1+2\cdot 2^x+x^3-4x^4}+1\right)\right]=$$
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is a set of math problems from a Calculus I recitation. It contains multiple questions asking for the computation of derivatives. There are no provided answers to these questions.
  
  Label: multiple-question