Question

Решить производную f(x)=x¹¹-x⁴+5

Answer 1

F`(x)=11*x^(11-1) - 4*x^(4-1) + 0 = 11x^10 - 4x^3

Answer 2

Ответ:

Пошаговое объяснение:

Answer 3

To find the derivative of the function $f(x) = x^{11} - x^4 + 5$, we can apply the power rule for differentiation. The power rule states that if we have a function of the form $g(x) = x^n$, then its derivative is $g'(x) = n \cdot x^{n-1}$.

Let's find the derivative of $f(x)$:

$f(x) = x^{11} - x^4 + 5$

Using the power rule:

$f'(x) = 11 \cdot x^{11-1} - 4 \cdot x^{4-1} + 0$ (The derivative of a constant term like "+5" is 0)

Simplifying:

$f'(x) = 11 \cdot x^{10} - 4 \cdot x^3$

So, the derivative of the function $f(x) = x^{11} - x^4 + 5$ is $f'(x) = 11x^{10} - 4x^3$.