Question

Question 21 Evaluate the derivative at the given value of x. 5 If y = find har x=2 x2 x=2 O 3 O 3 O 13 O 13

Answer 1

Let's rewrite the equation as:

y = -8x⁻¹ + 5x⁻²

y' = -(1)*-8x⁻² + (-2)*(5)x⁻³

y' = 8/x² - 10/x³

Now, let's evalute y' for x = 2:

y'(2) = 8/(2)² - 10/(2)³ = 8/4 - 10/8 = 2 - 5/4 = 3/4