Question

Найти производную: f'(x) = -2/x^4

Answer 1

F'(x) = -2/x^4

f'(x) = 2x^4

Answer 2

To find the derivative of the function $f(x) = -\frac{2}{x^4}$, you can use the power rule for differentiation. The power rule states that if you have a function of the form $f(x) = ax^n$, then its derivative $f'(x)$ is given by $f'(x) = anx^{n-1}$.

Applying the power rule to $f(x) = -\frac{2}{x^4}$:

$f'(x) = -2 \cdot (-4)x^{-4-1}$

Simplifying the exponent:

$f'(x) = \frac{8}{x^5}$

So, the derivative of $f(x) = -\frac{2}{x^4}$ is $f'(x) = \frac{8}{x^5}$.