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

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 $\frac{g ' \left(x\right) \cdot h \left(x\right) - h ' \left(x\right) \cdot g \left(x\right)}{h {\left(x\right)}^{2}}$
so the final answer is (12x^5−45x^4+36x^3−10x^2+8x+5)/((x-1)^2*(2x-3)^2