Question

Find the critical numbers (x-values) of the function y equals 2 x to the power of 5 plus 5 x to the power of 4 minus 19. Enter your answers as a comma-separated list. Round answers to 2 decimal places, if necessary.

Answer 1

`x=0,x=-2`

Explanation:

From the question we are told that:

`y=2x^5+5x^4-19`

Generally the equation if differentiated is mathematically given by

`y'=10x^4+20x^3-0`

Where

y'=0

`10x^4+20x^3=0`

Factorizing,We have

`x=0,x=-2`

Therefore

The critical points are

`x=0,x=-2`