Question

Help !!!
See question in image.
Please show workings .
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Answer 1

`(dy)/(dx)` = 2x + 3

Explanation:

The gradient function is the derivative
`(dy)/(dx)`

Differentiate using the power rule

`(d)/(dx)` (a
`x^(n)` ) = na
`x^(n-1)` and
`(d)/(dx)` ( constant ) = 0

Given

y = x² + 3x + 1, then

`(dy)/(dx)` = 2
`x^(2-1)` + 3
`x^(1-1)` + 0 = 2x + 3
`x^(0)` = 2x + 3 ← gradient function