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NCERT Class XI Mathematics - Limits and Derivatives - Solutions

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Question : 67 of 72
Marks: +1, -0
(ax2+sin⁡x)(p+qcos⁡x)(ax^2 + \sin x)(p + q \cos x)
Solution:  
Let f (x) = (ax2+sin⁡x)(p+qcos⁡x)(ax^2 + \sin x)(p + q \cos x) ... (i)
Differentiating (i) with respect to x, we get
ddx\frac{d}{dx} [f (x)] = (ax2+sin⁡x)′(p+qcos⁡x)(ax^2+\sin x)'(p+q\cos x) + (p+qcos⁡x)′(ax2+sin⁡x)(p+q\cos x)'(ax^2+\sin x)
= (2ax + cos x) (p + q cos x) + (– q sin x) (ax2ax^2 + sin x)
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