Question

Найдите производную функции: y=5 (x^2/3)-10/x^4

Answer 1

(5*2)/3*x^(-1/3) - (10 * (-4)) * x^(-5)

Answer 2

I can help you with your math question. To find the derivative of a function, you need to apply the rules of differentiation. For example, the power rule says that if $$f(x)=x^n$$, then $$f'(x)=nx^{n-1}$$.

In your case, the function is $$y=5+\frac{x^2}{3}-\frac{10}{x^4}$$. You can rewrite it as $$y=5+x^{\frac{2}{3}}-10x^{-4}$$. Then, you can use the power rule to find the derivative of each term. The derivative of a constant is zero, so the derivative of 5 is 0. The derivative of $$x^{\frac{2}{3}}$$ is $$\frac{2}{3}x^{\frac{2}{3}-1}=\frac{2}{3}x^{-\frac{1}{3}}$$. The derivative of $$-10x^{-4}$$ is $$-10(-4)x^{-4-1}=40x^{-5}$$. Therefore, the derivative of the function is $$y'=\frac{2}{3}x^{-\frac{1}{3}}+40x^{-5}$$.

You can simplify the expression by using common denominators. The result is $$y'=\frac{2x^4+120}{3x^5}$$. This is the final answer. I hope this helps you understand how to find the derivative of a function.Ответь+подробно.+Найдите+производную+функции:+y=5+(x^2/3)-10/x^4