Question

sin^2x чему равно производная? скажите пожалуйста!!!

Answer 1

Это производная сложной функции. Вычисляется как произведение производной внешней функции на производную внутренней,то есть 
у`=2 sinx cosx=sin2x

Answer 2

sin^2x

производная равна 2cos x

Answer 3

Derivative of sin^2(x)

The derivative of sin^2(x) can be found using the chain rule and the power rule of differentiation.

The power rule states that if we have a function of the form f(x) = (g(x))^n, where g(x) is a differentiable function and n is a constant, then the derivative of f(x) is given by f'(x) = n(g(x))^(n-1) * g'(x).

In this case, we have f(x) = sin^2(x), where g(x) = sin(x) and n = 2. Taking the derivative, we have:

f'(x) = 2(sin(x))^(2-1) * cos(x) = 2sin(x) * cos(x) = 2sin(x)cos(x).

Therefore, the derivative of sin^2(x) is 2sin(x)cos(x).

I hope this helps! Let me know if you have any further questions.