Question

Найти производную: (2t ³√t +4/(3√t) -2t+1)'Как можно скорее! Отмечу как лучший

Answer 1

Ответ:1. Решение. yx. = dy dx. = (4t3 (4t3. + 2t)dt − 2t)dt. = 2t2 2t2. +1 − 1, yxx.

Пошаговое объяснение:

Answer 2

Finding the Derivative of the Given Function

To find the derivative of the given function, which is (2t + ³√t + 4/(3√t) - 2t + 1), we can use the rules of differentiation. Let's proceed with finding the derivative.

The derivative of the given function can be found using the following steps:

1. Identify the Parts of the Function: - The given function is composed of several terms involving t.

2. Apply Differentiation Rules: - We will differentiate each term of the function with respect to t.

3. Combine the Results: - After differentiating each term, we will combine the results to obtain the derivative of the entire function.

Derivative Calculation

The derivative of the given function is as follows:

(2t + ³√t + 4/(3√t) - 2t + 1)'

Now, let's calculate the derivative of each term:

1. The derivative of 2t is 2. 2. The derivative of ³√t is (1/3)t^(-2/3). 3. The derivative of 4/(3√t) is -4/(9t^(5/3)). 4. The derivative of -2t is -2. 5. The derivative of the constant 1 is 0.

Combining the Results

Now, let's combine the derivatives of each term:

2 + (1/3)t^(-2/3) - 4/(9t^(5/3)) - 2

So, the derivative of the given function (2t + ³√t + 4/(3√t) - 2t + 1) is:

2 + (1/3)t^(-2/3) - 4/(9t^(5/3)) - 2

This is the derivative of the given function.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.