Question

4.
Check if
(a)
5
10
lies between
1
2
and 1 or not?
with explanation ​

Answer 1

Answer:

$y = (x + 5)( {x}^{2} + 3) \\ y = {x}^{3} + 3x + 5 {x}^{2} + 15 \\ \\ \frac{dy}{dx} = \frac{d}{dx} ( {x}^{3} + 3x + 5 {x}^{2} + 15) \\ \\ = 3 {x}^{2} + 3 + 10x \\ \\ = 3 {x + 10x}^{2} + 3$