Q. 84.7( 3 Votes )
Differentiate the following with respect to x:
Answer :
Given,
f(x) = 
Using (a + b)3 = a3 + 3a2b + 3ab2 + b3
⇒ f(x) = 
⇒ f(x) = x3/2 + x1/2 + x – 1/2 + x – 3/2
we need to find f’(x), so differentiating both sides with respect to x –
∴ 
Using algebra of derivatives –
⇒ f’(x) = 
Use the formula: 
∴ f’(x) = 
⇒ f’(x) = 
⇒ f’(x) = 
∴ f’(x) = 
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