Question

Производная (x^3+4^100-1)

Answer 1

Ответ:

3x^2

Пошаговое объяснение:

если 4^100 это четыре в сотой степени, то тогда я написал все верно

Answer 2

To find the derivative of the function f(x) = x^3 + 4^100 - 1, we need to differentiate each term with respect to x. The derivative of a constant is zero, and for a term of the form x^n, the derivative is nx^(n-1).

Let's differentiate the function term by term:

1. Differentiating x^3: d/dx (x^3) = 3x^(3-1) = 3x^2

2. Differentiating 4^100: Since 4^100 is a constant, its derivative is zero.

3. Differentiating the constant term -1: Since -1 is also a constant, its derivative is zero.

Now, the overall derivative of the function f(x) is the sum of the derivatives of its individual terms:

f'(x) = d/dx (x^3) + d/dx (4^100) + d/dx (-1) f'(x) = 3x^2 + 0 + 0 f'(x) = 3x^2

So, the derivative of the function f(x) = x^3 + 4^100 - 1 is f'(x) = 3x^2.