Question

Найдите f'(2)если f(x)=5/4x²-15​

Answer 1

Ответ:

5/4*4-15=-5

Пошаговое объяснение:

Answer 2

To find the derivative of the function f(x) with respect to x, we can use the power rule of differentiation. The power rule states that if we have a function of the form f(x) = ax^n, then its derivative f'(x) is given by f'(x) = n * ax^(n-1).

For the given function f(x) = (5/4)x^2 - 15, the derivative f'(x) will be:

f'(x) = d/dx [(5/4)x^2 - 15] f'(x) = (5/4) * d/dx (x^2) - d/dx (15) f'(x) = (5/4) * 2x - 0 (derivative of a constant is 0) f'(x) = (5/2)x

Now, to find f'(2), we simply plug x = 2 into the derivative:

f'(2) = (5/2) * 2 f'(2) = 5

So, f'(2) = 5.