Question

Please answer this question ❤​

Answer 1

Answer:

$\frac{dy}{dx} = (x {}^{2} - 3) {}^{9}$

Now differentation with respect to X

$\frac{dy}{dx} = \frac{d(x {}^{2} - 3) {}^{9} }{dx}$

$\frac{dy}{dx} = 9 \times (x {}^{2} - 3) \frac{d(x {}^{2} - 3)}{dx}$

$\frac{dy}{dx} = 9 \times (x {}^{2} - 3)(2x - 0)$

$\frac{dy}{dx} = 9 \times (x {}^{2} - 3)2x$

$\frac{dy}{dx} = 18x(x {}^{2} - 3)$

Additional information :

If the power is present.. We should Differnatatiate power first..

Then,

The dervatative of

$x {}^{2} = 2x$

We can find the dervatative by

$\frac{d(x {}^{n)} }{dx} = nx {}^{n - 1}$

General formula

Dervatative of constant will be 0

Example = number

Hope this helps u

❤️