Question

Let f(x)=9x^2/4_-5x find f'(x) and f''(x)?

Answer 1

`f'(x)=9x^(-1/2)-5,f''(x)=-9x^(-3/2)`

Explanation:

`f(x)=9x^(1/2)-5x`

`"differentiate using the "color(blue)"power rule"`

`•color(white)(x)d/dx(ax^n)=nax^(n-1)`

`f'(x)=9/2x^(-1/2)-5`

`f''(x)=-9x^(-3/2)`