NCERT Class XI Mathematics - Limits and Derivatives - Solutions

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Question : 38
Total: 72
Find the derivative of xn+axn−1+a2xn−2 + ... + an−1x+an for some fixed real number a.
Solution:  
Let f (x) = xn+axn−1+a2xn−2 + ... + an−1x+an ... (i)
Differentiating (i) with respect to x, we get
f' (x) = nxn−1+(n−1)axn−2 + ... + an−1
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