Question

Help !!!
See question in image.
Please show workings .
​​

Answer 1

gradient = 9

Explanation:

The gradient of the tangent at x = a is the derivative
`(dy)/(dx)`

Differentiate using the power rule on each term

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

y = 2x² + 5x - 3

`(dy)/(dx)` = 2.2
`x^(2-1)` + 5
`x^(1-1)` - 0

= 4x + 5

`(dy)/(dx)` ( x = 1 ) = 4(1) + 5 = 4 + 5 = 9 ← gradient of tangent