Question

Найти f'(x ) если f (x)=3x^2+4x-1

Answer 1

f(x)=3x^2+4x-1

f'(x )= 2*3х + 4 = 6х+4

Answer 2

f(x)=3x^2+4x-1. производная равна: 3*2x+4=6x+4. Ответ: 6x+4. производная константы равна 0.

Answer 3

To find the derivative of the function f(x) = 3x^2 + 4x - 1, we can use the power rule for differentiation. According to the power rule, the derivative of x^n is n*x^(n-1). Applying this rule, we can differentiate each term of the function separately:

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

Differentiating each term:

f'(x) = 3 * d/dx (x^2) + 4 * d/dx (x) + 0

Using the power rule, we can find the derivatives of each term:

f'(x) = 3 * 2x^(2-1) + 4 * 1x^(1-1) + 0

Simplifying the exponents and constants:

f'(x) = 6x + 4

Therefore, the derivative of f(x) = 3x^2 + 4x - 1 is f'(x) = 6x + 4.