Question

Calculus early transcendental functions. Find the derivative of the function. Leave the answer as appositive integer.

Answer 1

The given equation is

`y=(2)/(x^4)-x^3+2`
`\begin{gathered} \text{ given a function } \\ y=x^n \\ (dy)/(dx)=nx^(n+1) \end{gathered}`

Then for the given function

`y=(2)/(x^4)-x^3+2`

The derivative of the function above becomes

`\begin{gathered} y=2x^(-4)-x^3+2 \\ Apply\text{ the sum and difference rule of derivative } \\ (dy)/(dx)=(-4*2)x^(-4-1)-3x^(3-1) \end{gathered}`

Then we have

`\begin{gathered} (dy)/(dx)=-8x^(-5)-3x^2 \\ \\ (dy)/(dx)=-(8)/(x^5)-3x^2 \end{gathered}`

Therefore the derivative of the function above is

dy