Homework: Exponents, Logs, Trig Functions – Informal Calculus

24 Homework: Exponents, Logs, Trig Functions

Take the derivative of the following functions
1. $\frac{d}{d x} x^{3} + e^{x}$
  
  $3 x^{2} + e^{x}$
  
  ans
2. $\frac{d}{d x} 5 \ln (x) - x^{- 1}$
  
  $\frac{5}{x} + x^{- 2}$
  
  ans
3. $\frac{d}{d x} \log_{10} (x)$
  
  $\frac{1}{\ln (10) x}$
  
  ans
4. $\frac{d}{d x} 5 \sin (x) - 3 \cos (x)$
  
  $5 \cos (x) + 3 \sin (x)$
  
  ans

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