CALC (Will medal)

Finding the derivative of the function below...

I know I can use second fundamental theorem but how?

Question

CALC (Will medal)

Finding the derivative of the function below...

I know I can use second fundamental theorem but how?

anonymous · Answer

$$-x \int\limits_{2}^{x}f(t)dt$$

anonymous · Answer

Would it just be $$-\int\limits_{2}^{x}f(x)$$

anonymous · Answer

Making sure, so this is your problem correct? $$-x \int\limits_{2}^{x} f(t) dt$$

anonymous · Answer

Yes

zale101 · Answer

What is the f(t) equation? Is it given?

anonymous · Answer

Not really, the only equation given is y = f(x)

anonymous · Answer

*only other equation

anonymous · Answer

You have to use fundamental theorem of calc 1, I'm trying to remember so $$g(x) = -x \int\limits\limits_{2}^{x} f(t) dt $$ then $$g'(x) = f(x)$$

anonymous · Answer

Oh, that's right! Completely forgot to remove integral. Thank you for your help!

anonymous · Answer

Thinking further... wouldn't it be -1 + f(x) due to the derivative of -x being -1?