Question

Sin^2x произдодная???????

Answer 1

$y=sin^2x \\ y'=2sinx*cosx$

Answer 2

Finding the Derivative of sin^2(x)

To find the derivative of sin^2(x), we can use the chain rule. Let's break down the steps:

1. Start with the function y = sin^2(x). 2. Rewrite sin^2(x) as (sin(x))^2. 3. Apply the chain rule: the derivative of (sin(x))^2 is 2(sin(x))(cos(x)). 4. Simplify the expression: 2(sin(x))(cos(x)) = 2sin(x)cos(x).

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