What is the equation of the tangent line to the graph of f(x)=x^4 + 2x^2 at the point where f'(x) = 1?

Question

hero · Answer

Just use the equation for tangent line approximation

anonymous · Answer

what does that mean?

hero · Answer

y - f(c) = f'(c) (x-c)

it's similar to the point slope formula

hero · Answer

But just with function notation

hero · Answer

We have to find c ....

Do do this we of course have to find the derivative of f(x)

hero · Answer

Which is f'(x) = 4x^3 +4x

hero · Answer

Now set f'(x) = 1 and solve for x

1 = 4x^3 + 4x


looks like you're gonna need your calculator for this one

hero · Answer

You have to find the value of x that makes this statement 1 = 4x^3 + 4x true

hero · Answer

It's complex....what kind of bizarre problem is this?

anonymous · Answer

haha. ap calculus.  calculator allowed section

hero · Answer

Good luck with that

anonymous · Answer

how can I find this on the calc?

amistre64 · Answer

oh that is ugly ....

hero · Answer

You won't

amistre64 · Answer

you sure you aint typoed it?

anonymous · Answer

What is an equation of the line tangent to the graph of f(x) = x^4 + 2x^2 at the point where f'(x) = 1?

anonymous · Answer

haha word for word

hero · Answer

AP Calculus...gotta love it

hero · Answer

If amistre doesn't know, I'd say you're pretty much SOL

anonymous · Answer

SOL?  not familiar with that abbreviation

hero · Answer

What does the back of the book say?

anonymous · Answer

It's from an actual old AP... our teacher won't give us the answers until tomorrow. SOl haha

hero · Answer

I'd like to see the solution myself

hero · Answer

Some problems are strange, cruel, and unusual. This is one of them

anonymous · Answer

haha tell me about it.  So there's no way to graph it on the calculator and somehow come to a conclusion based on that?  This problem is supposed to take two mins

hero · Answer

Maybe it really is a typo and your teacher hasn't told you yet

anonymous · Answer

maybe you can help me with this one?
Let f be the function given by f(x) = x^2 - 2x +3.  The tangent line to the graph of f at x = 2 is used to approximate values of f(x).  what is the greatest value of x for which the error resulting from this tangent line approx. is less than 0.5?

anonymous · Answer

maybe but I doubt it bc it is photocopied right from the packet

hero · Answer

Oh I hate those....ask amistre

anonymous · Answer

ok.  thank you.  I will post the solution to that other one here once I get it

hero · Answer

Great