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Question

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

Solution
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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+adacxbc(cx+d)2=adbc(cx+d)2

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