Question

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

Answer 1

Given the function:

$y=\frac{2x^6-5x^5+3}{x^4}$

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:

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

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