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Calculus 1

  1. Use the power rule to find the derivative of \(f(x) = 2x^{\frac{3}{2}}\)

  2. Find the derivative of \(f(x) = -12x^{0.25} \)

  3. Find the derivative of \(f(x) = \frac{1}{x^2} \)

  4. Using the power rule for derivatives, find the first derivative of the function,
    \(f(x) = \frac{4}{x^3} \)

  5. Find the Derivative of \(f(x) = \sqrt[5]{x} \)

  6. What is the derivative of the following function
    \(f(x) = 15\sqrt[5]{x^2}\)

  7. Find the derivative of the function,
    \(y = 5x^3 - 4x - 1 + \frac{5}{x^4}\)

  8. Find the derivative of \(y = 2x^2 + 3x - 17 \)

  9. Use the product rule to find the derivative of \(y = 5x(x^2 - 2) \)

  10. Use the product rule to find the derivative of \(y = (3x^2 + 2x) (2x^4 - 5) \)

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