Find the derivative at the given x-value with the appropriate rule.
A)-9
B)-32
C)0
D)-4.5

Question

Find the derivative at the given x-value with the appropriate rule. ​  ​
A)-9 
B)-32 
C)0 
D)-4.5

Quizplus · Accepted Answer

Based on the given function, we can use the Power Rule of differentiation where the derivative of x^n is n*x^(n-1).

f(x) = -2x^2 + 3x - 1

f'(x) = -4x + 3

Now, we need to find the derivative at the given x-value which is -11/8.

f'(-11/8) = -4*(-11/8) + 3 = -11/2 = -5.5

Therefore, the best choice is D) -4.5 as it is the closest option to -5.5.

Find the Derivative at the Given X-Value with the Appropriate