n is a positive integer

\text{Find }\dfrac{dy}{dx} \text{ where: }

  1. y = 5{x^4} + 7{x^3} - 6{x^2} + 3x - 2
  2. y = {x^4} - \dfrac{{2{x^3}}}{5} - \dfrac{{5{x^2}}}{7} - x + \dfrac{2}{3}
  3. y = \left( {5x - 2} \right)\left( {x - 3} \right)

Differentiating terms containing roots

\text{Find }\dfrac{dy}{dx} \text{ where: }

  1. y = 5\sqrt[4]{x} - 7\sqrt[3]{{{x^2}}} + \sqrt x
  2. y = \dfrac{5}{{{x^2}}} - \dfrac{7}{{2{x^3}}} + \dfrac{5}{{3\sqrt x }}

Differentiating fractional types

In this tutorial you are shown you how to differentiate the following fractional types.

\text{Find }\dfrac{dy}{dx} \text{ where: }

  1. y = \dfrac{{5{x^3} - 7x - 1}}{{{x^2}}}
  2. y = \dfrac{{5{x^3} - 7x - 1}}{{3{x^2}}}