Question

. Find the derivative of f(x) = x^2 + 1 at x = 2.​

Answer 1

Answer:

4

Step-by-step explanation:

d/dx=x^2+1

=2x+0

x=2

2(2)=4

Answer 2

Answer:

4

Step-by-step explanation:

Given :

$\displaystyle f ( x ) =x^2+1$

We have to derivative of f(x) at x = 2

First find the derivative

Using power rule here

$\displaystyle x^n=n.x^{n-1}$

$\displaystyle f '( x ) =2.x^{2-1}+0\\\\\displaystyle f '( x ) =2.x^{1}\\\\\displaystyle f '( x ) =2x$

Now at x = 2 we get

$\displaystyle f '( x ) =2x\\\\\displaystyle f '( 2 ) =2\times2\\\\\displaystyle f '( 2 ) =4$

Thus we get answer 4.