Question

hw 15 - increasing and decreasing functions section 3.1: problem 2 (1 point) consider the function f(x)=-5x^2 + 8x - 8. find the critical value(s), x_0 of the function. x_0 = round to three decimal places if needed. preview my answers submit answers you have attempted this problem 0 times. you have 6 attempts remaining. email instructor

Explanation:

Step1: Find the derivative of f(x)

The derivative of \(f(x)=- 5x^{2}+8x - 8\) using the power - rule \((x^n)^\prime=nx^{n - 1}\) is \(f^\prime(x)=-10x + 8\).

Step2: Set the derivative equal to zero

Set \(f^\prime(x)=0\), so \(-10x + 8 = 0\).

Step3: Solve for x

Add \(10x\) to both sides: \(8 = 10x\). Then \(x=\frac{8}{10}=0.800\).

Answer:

\(0.800\)