Question

Найдите производную функции

Answer 1

$y=(3x-x^4)(-x^{\frac{3}{5}}-\sqrt[3]{x})\\\\y'=(3-4x^3)(-x^{\frac{3}{5}}-\sqrt[3]{x})+(3x-x^4)(-\frac{3}{5}x^{-\frac{2}{5}}-\frac{1}{3}x^{-\frac{2}{3}})=\\\\=(3-4x^3)(-\sqrt[5]{x^3}-\sqrt[3]{x})+(3x-x^4)(-\frac{3}{5\sqrt[5]{x^2}}-\frac{1}{3\sqrt[3]{x^2}})$

Answer 2

Finding the Derivative of a Function

To find the derivative of a function, we can use the given information and apply the rules of differentiation.

1. y=sinx-2x( ) - The derivative of the function y=sinx-2x( ) is not provided in the search results.

2. y=(7-24x)^10 - The derivative of the function y=(7-24x)^10 is not provided in the search results.

3. f(x) = 5 - The derivative of the constant function f(x) = 5 is 0. - Source: 4. f(x) = x^4 - The derivative of the function f(x) = x^4 is 4x^3. - Source: 5. f(x) = e^x - The derivative of the function f(x) = e^x is e^x. - Source: 6. f'(x) = 20x^4 \frac{1}{2\sqrt{x}} sin(x) - The derivative provided is for a specific function f(x), which is not explicitly mentioned in the question. Therefore, it's not directly applicable to the given functions.

7. y=-1/3(4+3x)^6 - The derivative of the function y=-1/3(4+3x)^6 is not provided in the search results.

8. Sgn(x) - The search results provide information about the properties and behavior of the signum function, but they do not provide a specific derivative for a given function.

9. f(x)=8x3+3x2-x - The derivative of the function f(x)=8x3+3x2-x is not provided in the search results.

Given the information available, the derivatives for the specific functions mentioned in the question are not directly provided in the search results. If you have a specific function for which you need the derivative, please provide the function, and I can help you find its derivative.