Question

Решить производную f(x)=x¹¹-x⁴+5; x=2

Answer 1

ответ к задаче на фото

Answer 2

To find the derivative of the function f(x) = x^11 - x^4 + 5 and then evaluate it at x = 2, we'll use the power rule of differentiation, which states that the derivative of x^n is n*x^(n-1).

1. Find the derivative of f(x): f'(x) = d/dx (x^11) - d/dx (x^4) + d/dx (5) f'(x) = 11x^(11-1) - 4x^(4-1) + 0 f'(x) = 11x^10 - 4x^3

2. Evaluate the derivative at x = 2: f'(2) = 11(2)^10 - 4(2)^3 f'(2) = 11(1024) - 4(8) f'(2) = 11264 - 32 f'(2) = 11232

So, the value of the derivative of f(x) at x = 2 is 11232.