Question

Найдите производную функции y=(2x+3)^2-подробно

Answer 1

Тут нельзя написать подробней

Answer 2

Derivative of the Function y=(2x+3)^2

To find the derivative of the function y=(2x+3)^2, we can use the power rule of differentiation. According to the power rule, if we have a function of the form f(x) = (g(x))^n, where g(x) is a differentiable function and n is a constant, then the derivative of f(x) is given by:

f'(x) = n(g(x))^(n-1) * g'(x)

In this case, g(x) = 2x+3 and n = 2. Let's find the derivative step by step:

1. Find g'(x), the derivative of g(x): g'(x) = d/dx (2x+3) = 2

2. Substitute the values into the derivative formula: f'(x) = 2(2x+3)^(2-1) * 2

Simplifying the expression, we get: f'(x) = 4(2x+3)

Therefore, the derivative of the function y=(2x+3)^2 is 4(2x+3).

Please let me know if I can help you with anything else.