The function f"(x) = 15x²+20 will have the given derivative and value.
What is a function?
A connection between independent variables and the dependent variable.is defined by the function. Functions help to represent graphs and equations.
A function is represented by the two variables one is dependent and another one is an independent function. The relation between them is shown as y if dependent and x is the independent variable;
You can find the answer with an educated guess-and-check process while thinking about the chain rule.
f'(x) = x(x²+4)5
f'(x) = (x³+4x)5
f'(x) = 5x³+20x
The derivative of the function f'(x) is f''(x)
f''(x) = 15x²+20
Hence,the function that has the given derivative and value will be f''(x) = 15x²+20
To learn more about the function refer to the link https://brainly.com/question/12431044.
#SPJ1
