Question

Найти производную от 32sin32x знаю что легко, но забыл как :D Help

Answer 1

дано:32*sin(32*x)

(нахождение производной)1024*cos(32*x)

Answer 2

Finding the Derivative of 32sin(32x)

To find the derivative of the function 32sin(32x), we can use the chain rule, which states that the derivative of a composite function is the derivative of the outer function evaluated at the inner function, multiplied by the derivative of the inner function.

Applying the Chain Rule

The derivative of sin(u) with respect to u is cos(u). Therefore, the derivative of sin(32x) with respect to x is cos(32x) multiplied by the derivative of the inner function, which is 32.

Calculating the Derivative

So, the derivative of 32sin(32x) with respect to x is:

32 * cos(32x)

Therefore, the derivative of the function 32sin(32x) is 32 * cos(32x).