Question

найти производную функции y=tg

Answer 1

   y=tg⁵x   y'=5tg⁴x*(tgx)'=5tg⁴x/сos²x

Answer 2

Derivative of y = tan(x)

The derivative of the function y = tan(x) can be found using the derivative rules for trigonometric functions. The derivative of tan(x) is given by:

y' = sec^2(x)

This means that the derivative of the tangent function is the secant squared function of x.

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Conclusion

The derivative of the function y = tan(x) is y' = sec^2(x).