Question

How do you find the derivative of `(3x^4+2x^2+1)/(2x^2-5x+3)+1`?

Answer 1

Use the quotient rule

Explanation:

the quotient rule says if you have some function f(x) which is the quotient of two other functions, `g(x)/(h(x)`
then the derivative of f is `(g'(x)*h(x)-h'(x)*g(x))/(h(x)^2)`

so the final answer is `(12x^5−45x^4+36x^3−10x^2+8x+5)/((x-1)^2*(2x-3)^2`