Question 4 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
Class X1 - Maths -Limits and Derivatives Page 317
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y = (ax+b)(cx+d)^2
Applying product rule
dy/dx = (ax+b) d/dx(cx+d)^2 + (cx+d)^2 d/dx(ax+b)
= (ax+b).2(cx+d).c +(cx+d)^2.a
= 2c(ax+b)(cx+d) + a(cx+d)^2
Applying product rule
dy/dx = (ax+b) d/dx(cx+d)^2 + (cx+d)^2 d/dx(ax+b)
= (ax+b).2(cx+d).c +(cx+d)^2.a
= 2c(ax+b)(cx+d) + a(cx+d)^2
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