Question

Найдите производную функцию:а) f(x)=9x+4)^5б) f(x)=(2-2.5x)^10срочно помогите пожалуйста!

Answer 1

1) 45(9x+4)^4

2) -25(2-2.5x)^9

Answer 2

1)5(9х+4)^4*9

2)10(2-2,5х)^9*2,5 

Answer 3

Derivative of f(x) = (9x + 4)^5:

To find the derivative of the function f(x) = (9x + 4)^5, we can use the chain rule. The chain rule states that if we have a composite function, such as (g(x))^n, then the derivative is given by n(g(x))^(n-1) * g'(x), where g'(x) is the derivative of the inner function g(x).

In this case, the inner function is g(x) = 9x + 4, and the outer function is h(x) = g(x)^5. Let's find the derivative step by step:

1. Find the derivative of the inner function g(x): g'(x) = 9

2. Apply the chain rule to find the derivative of the outer function h(x): h'(x) = 5(g(x))^4 * g'(x) = 5(9x + 4)^4 * 9

Therefore, the derivative