Question

F'(x)=2, якщо f(x)=3x^2-4x+5

Answer 1

Ответ:

под квадратным корнем не может быть отрицательное число по этому это функция не имеет решения

Answer 2

To find the derivative of the function f(x) = 3x^2 - 4x + 5, we'll differentiate the function with respect to x.

Let's use the power rule for differentiation, which states that if we have a term of the form ax^n, then its derivative is given by d/dx(ax^n) = anx^(n-1).

Given that f(x) = 3x^2 - 4x + 5, we'll differentiate each term separately:

1. Differentiating 3x^2 with respect to x: d/dx(3x^2) = 3 * 2x^(2-1) = 6x

2. Differentiating -4x with respect to x: d/dx(-4x) = -4 * 1x^(1-1) = -4

3. Differentiating 5 with respect to x (constant term): d/dx(5) = 0 (the derivative of a constant is zero)

Now, we'll put the results together:

f'(x) = 6x - 4

So, the derivative of the function f(x) = 3x^2 - 4x + 5 is f'(x) = 6x - 4.