Question

How do you find the derivative of `y=x^4-3x^2+7x-2`?

Answer 1

`(dy)/(dx)=4x^3-6x+7`

Explanation:

To find derivative of a polynomial, one can use `d/(dx)x^n=nx^(n-1)`.

Hence, as `y=x^4-3x^2+7x-2`

`(dy)/(dx)=4x^(4-1)-3xx 2x^(2-1)+7` or

`(dy)/(dx)=4x^3-6x+7`