Question

Найти производную f(x)=3/x^2 - 2x Срочно!!! Заранее спасибо

Answer 1

F(x)=3/x²-2x
f'(x)=(3/x²)'-(2x)'
(3/x²)'=(-3(2x))/x^4=(-6x)/x^4 (расчитывается по формуле: (u'v-uv')/v², где u-числитель, v-знаменатель)
(2x)'=2
Ответ: f'(x)=-6x/x^4-2=-6/x^3-2

Answer 2

Derivative of f(x)=3/x^2 - 2x

To find the derivative of the function f(x)=3/x^2 - 2x, we can use the power rule for differentiation. The power rule states that if f(x) = x^n, then f'(x) = nx^(n-1). Applying this rule to the given function:

f(x) = 3/x^2 - 2x

The derivative of the function f(x) with respect to x, denoted as f'(x), is given by:

f'(x) = d/dx(3/x^2) - d/dx(2x)

Using the power rule, the derivative of 3/x^2 is -6/x^3, and the derivative of 2x is 2. Therefore, the derivative of the function f(x) is:

f'(x) = -6/x^3 - 2

This is the derivative of the given function f(x)=3/x^2 - 2x.

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