NCERT Class XI Mathematics - Limits and Derivatives - Solutions

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Question : 38
Total: 72
Find the derivative of xn+axn1+a2xn2 + ... + an1x+an for some fixed real number a.
Solution:  
Let f (x) = xn+axn1+a2xn2 + ... + an1x+an ... (i)
Differentiating (i) with respect to x, we get
f' (x) = nxn1+(n1)axn2 + ... + an1
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