Find the derivative of the following functions(it is to be understood that a,b,c,d,p,q,r and s are fixed non-zero constants and m and n are integers): 1ax2+bx+c
Let f(x)1ax2+bx+c
Thus by quotient rule
f′(x)=(ax2+bx+c)ddx(1)−ddx(ax2+bx+c)(ax2+bx+c)2
=(ax2+bx+c)(0)−(2ax+b)(ax2+bx+c)2=−(2ax+b)(ax2+bx+c)2