Question

Find the derivative of f(x) = 2x^2 + 4x + 5 at x = 2​

Answer 1

Answer:

13

Step-by-step explanation:

given above, hope it helps

Answer 2

The derivative of the function is  $f(x) = 2x^2 + 4x + 5$  at $x = 2$ is 12.

The derivative of a function is the instantaneous rate of change of the function at a particular point. It can also be defined as the slope of the tangent to the graph of the functions at any specified point.

the given function is $f(x) = 2x^2 + 4x + 5$ .

We have to use the basic power rule to differentiate the function:

The power rule states that :

If a function is defined as  $g(x)=x^n ,(n\in R)$  then the derivative of the function is given by:

$g'(x)=nx^{n-1}$  

In the above function we will use the same rule to find the derivative:

$f(x) = 2x^2 + 4x + 5\\or, f'(x)=2\times2x^{2-1}+(1\times 4)x^{1-1}+0\\or,f'(x)=4x+4$

Hence the derivative of the function is $f'(x)=4x+4$ .

Now we have to find the value of the derivative at $x=2$ .

$f'(2)=4\times 2+4\\or,f'(2)=12$

Therefore the value of the derivative of the function at $x=2$ is 12.

Learn more about the derivative of a function at:

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