Calculus Problems

Click the problem to be redirected to a video solution and to leave questions.

  1. Find the derivative of \(y = {(x^2 + 3x)}^7\)

  2. Find the derivative of \(f(x) = \frac{2}{5x^2 + 3x}\)

  3. Practice the chain rule by finding the derivative of the following function
    \(y = \sqrt{3x + 4}\)

  4. Use the chain rule to find the derivative of the following function
    \(f(x) = \sqrt{3x^3 + 10x}\)

  5. Find the derivative of \(y = \sin{(3x^2 - 1)}\)

  6. Find the derivative of the following function
    \(y = \frac{\ln{(x - 1)}}{\sqrt{x^{\pi} + 1}}\)

  7. Find the derivative of the following function
    \(f(n) = \sin{(n^2 + e^n + 1)}\)

  8. Use implicit differentiation to find \(\frac{dy}{dx}\) for the following equation
    \(x^2 + y^2 = 25 + 5x\)

  9. Use implicit differentiation to take the derivative of \(y\) with respect to \(x\) for the following equation
    \(y^5 + 2y = x^2\)

  10. For the following function, find \(\frac{dy}{dx}\) by implicit differentiation
    \(x^2 + 2xy + y^2 = 5\)

Pages