Question

Hi. I need help whit this question (see image). Please show workings.​

Answer 1

54x² - 10x

Explanation:

differentiate each term using the power rule

\frac{d}{dx}

dx

d

(ax^{n}x

n

) = nax^{n-1}x

n−1

, then

\frac{d}{dx}

dx

d

(18x³ - 5x² + 6)

= 3.18x^{3-1}x

3−1

- 2.5x^{2-1}x

2−1

+ 0

= 54x² - 10x

Answer 2

54x² - 10x

Explanation:

differentiate each term using the power rule

`(d)/(dx)` (a
`x^(n)` ) = na
`x^(n-1)`, then

`(d)/(dx)`(18x³ - 5x² + 6)

= 3.18
`x^(3-1)` - 2.5
`x^(2-1)` + 0

= 54x² - 10x