Question

Find y' if y=2x^6-5x^5+3/x^4

Answer 1

Given the function:

`y=(2x^6-5x^5+3)/(x^4)`

We can write the given function as follows:

`\begin{gathered} y=(2x^6-5x^5+3)\cdot x^(-4) \\ y=2x^2-5x+3x^(-4) \end{gathered}`

So, y' will be as follows:

`\begin{gathered} y^(\prime)=2\cdot2x-5\cdot1+3\cdot(-4x^(-5)) \\ \\ y^(\prime)=4x-5-(12)/(x^5) \end{gathered}`

So, the answer will be: y' = 4x - 5 -12/x^5