Question

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Answer 1

`f'(x) = (7x^(2) - 3x + 2)^{ (7)/(2)} (14x - 3)`

Step-by-step explanation

Formula :

`\boxed{f(x) = u^(n) \: \rightarrow \: f'(x) = n * u^(n - 1) * u'}`

Step by step :

`\begin{aligned}f(x)&=(7x^(2) - 3x + 2)^{(9)/(2)}\\f'(x)&= (9)/(2)(7x^(2) - 3x + 2)^{ (9 - 2)/(2)} (14x - 3) \\& = (9)/(2) (7x^(2) - 3x + 2)^{ (7)/(2)} (14x - 3)\end{aligned}`