Question

question 30 - 1 point find all the value(s) of x at which f(x)=4x³ + 10x²+29x - 1 has a horizontal tangent line. select all correct answers. select all that apply: -5 -2 -2/5 2/5 there are no values with a horizontal tangent.

Explanation:

Step1: Differentiate the function

$f'(x)=12x^{2}+20x + 29$

Step2: Set derivative equal to 0

$12x^{2}+20x + 29 = 0$

Step3: Calculate discriminant

$\Delta=20^{2}-4\times12\times29=400 - 1392=- 992<0$

Answer:

There are no values with a horizontal tangent.