Formula to find derivative of a function f(x) by first principle :
This is also called as limit definition of the derivative.
Derivative of √x using first principle :
Let f(x) = √x.
Find the derivative of each of the following.
Problem 1 :
Solution :
We already know the derivative of √x, which is ¹⁄2√ₓ. We can find the derivative of the given function using chain rule as shown below.
Problem 2 :
Solution :
Problem 3 :
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Problem 17 :
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Problem 18 :
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