0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
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+b)(cx+d)2

Solution
Verified by Toppr

Let f(x)=(ax+b)(cx+d)2
Thus by Leibnitz product rule
f(x)=(ax+b)ddx(cx+d)2+(cx+d)2ddx(ax+b)
=(ax+b)ddx(c2x2+2cdx+d2)+(cx+d)2ddx(ax+b)
=(ax+b)[ddx(c2x2)+ddx(2cdx)+ddxd2]+(cx+d)2[ddxax+ddxb]
=(ax+b)(2c2x+2cd)+(cx+d2)a
=2a(ax+b)(cx+d)+a(cx+d)2

Was this answer helpful?
0
Similar Questions
Q1
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+b)(cx+d)2
View Solution
Q2
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+b)n(cx+d)m
View Solution
Q3
Find the derivative of the following function (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
View Solution
Q4

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 + b)n

View Solution
Q5
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 constant and m and n are integers) : (ax+b)n
View Solution