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Question

The value of derivative at the point x=2 on the curve y=x2 is equal to .


Correct Answer
A
-4
Your Answer
B
4
Your Answer
C
-2
Your Answer
D
2

Solution

The correct option is A -4
We know that as per the first principle, the derivative of a function is given by f(x)=limh0f(x+h)f(x)h

f(x+h)=(x+h)2=x2+h2+2hxf(x)=x2
So f(x)=limh0x2+h2+2hxx2h=limh0h2+2hxh=limh0h(h+2x)h=2x
At x = -2, f'(x)= 2 × (-2) = -4

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