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) : ax+bcx+d
Let f(x)=ax+bcx+d
Thus by quotient rule,
f′(x)=(cx+d)ddx(ax+b)−(ax+b)ddx(cx+d)(cx+d)2
=(cx+d)(a)−(ax+b)(c)(cx+d)2
=acx+ad−acx−bc(cx+d)2=ad−bc(cx+d)2