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

Asked by Pragya Singh | 1 year ago |  58

##### Solution :-

Let f '(x) = (ax +b)(cx + d)2 By Leibnitz product rule,

$$f(x)=(ax+b)\dfrac{d}{dx}(cx+d)^2\dfrac{d}{dx}(ax+b)$$

$$f(x)=(ax+b)\dfrac{d}{dx}(c^2x^2 +2cdx^2)$$

$$+(cx+d)^2\dfrac{d}{dx}(ax+b)$$

=(ax+b)(2c2x +2cd)+(cx +d)2

=2c(ax +b)(cx + d)+ a(cx + d)2

Answered by Abhisek | 1 year ago

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