Question

How do you find the derivative of `f(x)=3x^2-5x`?

Answer 1

`f'(x)=6x-5`

Explanation:

for polynomial differentiation

`f(x)=ax^n=>f'(x)=nax^(n-1)`

`f(x)=3x^2-5x`

`=>f'(x)=2xx3x^(2-1)-1xx5x^(1-1)`

`f(x)=6x^1-5x^0`

`f'(x)=6x-5`