NCERT Class XI Mathematics - Limits and Derivatives - Solutions
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Question : 67
Total: 72
Solution:
Let f (x) = ( a x 2 + s i n x ) ( p + q c o s x ) ... (i)
Differentiating (i) with respect to x, we get
[f (x)] = ( a x 2 + s i n x ) ′ ( p + q c o s x ) + ( p + q c o s x ) ′ ( a x 2 + s i n x )
= (2ax + cos x) (p + q cos x) + (– q sin x) (a x 2 + sin x)
Differentiating (i) with respect to x, we get
= (2ax + cos x) (p + q cos x) + (– q sin x) (
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