Question

Найти значение f’(3) f(x)=4x^3-5

Answer 1

Ответ: 108

Пошаговое объяснение:

f’(x)=12x^2

f’(3)=12*3*3=108

Answer 2

To find the derivative of the function f(x) and then evaluate it at x = 3, you'll need to 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 is given by f'(x) = n * ax^(n-1).

Let's apply the power rule to the function f(x) = 4x^3 - 5:

f(x) = 4x^3 - 5

To find f'(x), differentiate each term with respect to x:

f'(x) = d/dx (4x^3) - d/dx (5)

Using the power rule, we get:

f'(x) = 12x^2 - 0 (derivative of constant is zero)

Now that we have the derivative, we can evaluate it at x = 3:

f'(3) = 12 * 3^2 f'(3) = 12 * 9 f'(3) = 108

So, the value of f'(3) is 108.