Question

x^-3 (5 + 3x) find the derivatives of the following functions w.r.t.x​

Answer 1

Step-by-step explanation:

dy/dx=-3x*-4x3

dy/dx=-12x*-4

Answer 2

Answer:

The derivative of the function $f(x)=x^{-3} (5+3x)=x^{(-15-9x)}$ with respect to x is $=(135+81x)x^{-16-9x}$

Step-by-step explanation:

The derivative of a function is the rate of change of that function with respect to an independent variable.

The derivative of a function of the form $f(x)=x^{n}$ with respect to x is given by the formula

$\frac{d(x^{n} )}{dx} =nx^{n-1}$

from the question, it is given that the function is

$f(x)=x^{-3} (5+3x)=x^{(-15-9x)}$

the first-order derivative of the function can be calculated as

$\frac{d(x^{-15-9x} )}{dx} =(-15-9x)x^{-15-9x-1}*-9$

               $=(135+81x)x^{-16-9x}$