Question

( x2 -3x +7 ) ( 2x2 +5x+9)differentiate

Answer 1

➡HERE IS YOUR ANSWER⬇

Here :

f (x) = (x² - 3x + 7)(2x² + 5x + 9)

$= 2 {x}^{4} - {x}^{3} + 8 {x}^{2} + 8x + 63$

Now,

f'(x)

$\frac{d}{dx} (2 {x}^{4} - {x}^{3} + 8 {x}^{2} + 8x + 63) \\ \\ = 8 {x}^{3} - 3 {x}^{2} + 16x + 8$

♧♧♧METHOD♧♧♧

$\frac{d}{dx} ( {x}^{n} ) = n \: {x}^{n - 1} \\ \\ \frac{d}{dx} (c) = 0$

⬆HOPE THIS HELPS YOU⬅