Question

HELP CALC.

Answer 1

The slope of the function \(\color{black}{ y=f(x) }\) at \(\color{black}{ x=a }\) is \(\color{black}{ f'(a) }\).

Answer 2

So, first you will need the derivative of the function \(\color{black}{ y=2x^2+2 }\)?

Answer 3

`Example:` Find the slope of the function \(\color{black}{ y=x^2+4 }\) at \(\color{black}{ x=3 }\).
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`Solution:`\(\tiny\\[0.5em]\)
\(\color{black}{ f(x)=x^2+4 }\)
\(\color{black}{ f'(x)=2x+0 }\)
\(\color{black}{ f'(x)=2x }\)

Then, \(\color{black}{ f'(\color{red}{3})=2\color{red}{(3)}=6 }\).

Answer 4

So, for that example the answer is \(6\).

Answer 5

So, all you have to do is to find the derivative of the
function (this will be the slope of when x=x),

and then plug in x=3 into the derivative to find the slope at x=3.

Answer 6

so, finally, it would be "B". correct? @SolomonZelman

Answer 7

@3mar @DanJS ?^

Answer 8

Your function is

y=2x^2 + 2

what is the derivative of that?

Answer 9

@DanJS not sute

Answer 10

I am sorry. I was not here!
If you still need help, I am at your service!