Question

Find the derivative:f(x)= -3/ x^4

Answer 1

Given the function f(x), we can write it like this:

`\begin{gathered} f(x)=-(3)/(x^4) \\ \Rightarrow f(x)=-3x^(-4) \end{gathered}`

Using the formula for polynomial derivatives, we get:

`\begin{gathered} f(x)=-3x^(-4) \\ \Rightarrow f^(\prime)(x)=-3\cdot(-4)x^(-4-1)=12x^(-5) \\ f(x)=(12)/(x^5) \end{gathered}`

Therefore, the derivative f'(x) is 12/x^5