Question

Y= (2x3+5)4 производные​

Answer 1

Ответ:

24

Пошаговое объяснение:

1) Найти производную функции:

$f' (x) = 24$

Answer 2

To find the derivative of the function Y with respect to x, we'll apply the rules of differentiation step by step. The given function is:

Y = (2x^3 + 5) * 4

To find the derivative, let's differentiate each term separately using the power rule and the constant multiple rule:

1. Differentiate the first term: d/dx (2x^3) = 6x^2
2. Differentiate the second term: d/dx (5) = 0 (the derivative of a constant is zero)
3. Apply the constant multiple rule: d/dx (4 * Y) = 4 * (6x^2) = 24x^2

So, the derivative of Y with respect to x is:

dY/dx = 24x^2