[tex]f'(x) = (7x^{2} - 3x + 2)^{ \frac{7}{2}} (14x - 3)[/tex]
Explanation
Formula :
[tex] \boxed{f(x) = u^{n} \: \rightarrow \: f'(x) = n \times u^{n - 1} \times u'}[/tex]
Step by step :
[tex] \begin{aligned}f(x)&=(7x^{2} - 3x + 2)^{\frac{9}{2}}\\f'(x)&= \frac{9}{2}(7x^{2} - 3x + 2)^{ \frac{9 - 2}{2}} (14x - 3) \\& = \frac{9}{2} (7x^{2} - 3x + 2)^{ \frac{7}{2}} (14x - 3)\end{aligned}[/tex]
