Question

Найти производную h(x)=tg

Answer 1

Ответ:

-2/(x²•cos²(2/x))

Объяснение:

h(x)=tg(2/x)

h′(x)=[tg(2/x)]′=(1/cos²(2/x))•(2/x)′=

=(1/cos²(2/x))•(-2/x²)=-2/(x²•cos²(2/x))

Answer 2

I assume you meant to write h(x) = tan(x) instead of h(x) = tg. The derivative of tan(x) with respect to x can be found using the chain rule.

The derivative of tan(x) with respect to x is:

d/dx [tan(x)] = sec^2(x)

Where sec(x) represents the secant function, which is the reciprocal of the cosine function:

sec(x) = 1/cos(x)

So, the derivative of tan(x) is sec^2(x).

If you have any other functions or need further assistance, feel free to ask!