Question

Найти производную функции y=ln(2x+3)

Answer 1

Вот смотри, там можно решать такие примеры: http://planetcalc.ru/675/

Answer 2

Finding the Derivative of y=ln(2x+3)

To find the derivative of the function y=ln(2x+3), we can use the chain rule, which states that the derivative of ln(u) is u'/u, where u is a function of x. In this case, u = 2x+3.

The derivative of y=ln(2x+3) with respect to x is given by: y' = (1/(2x+3)) * (d(2x+3)/dx)

Now, let's calculate the derivative using the chain rule.

The derivative of 2x+3 with respect to x is simply 2, so: y' = (1/(2x+3)) * 2

Therefore, the derivative of y=ln(2x+3) with respect to x is: y' = 2/(2x+3)

This is the derivative of the given function y=ln(2x+3) with respect to x.