Froge Academy - Dive into Calculus!

📝 Basic Derivatives Worksheet 1

Welcome to the first worksheet in our derivatives series! Below are a series of exercises aimed at strengthening your fundamental understanding of derivatives:

  1. Find the derivative of \(f(x) = x^2 + 3x + 5\).
  2. Differentiate the function \(g(x) = \sin(x) + \cos(x)\).
  3. Compute \(h'(x)\) where \(h(x) = e^x \cdot \ln(x)\).
  4. Determine the derivative of the polynomial \(p(x) = 4x^3 - 2x^2 + x - 7\).
  5. Solve for the derivative of \(q(x) = \tan(x) - x^4\).






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