Question

What is the x-coordinate of the point of inflection on the graph of y=(13)x3+5x2+24?

Answer 1

Answer: X-coordinate is -7.8

Step-by-step explanation:

Point of inflection is given by f''(x)=0.

here f(x)=13x³+5x²+24

therefore f'(x)=$\frac{d f(x)}{dx}$= 39x²+10x+0

f''(x)=78x+10

since f''(x)=0

        78x+10=0

        x=-$\frac{10}{78}$

therefore x-coordinate is  -7.8.