Friday

August 29, 2014

August 29, 2014

Posted by **Monique** on Wednesday, June 24, 2009 at 4:27pm.

Find the largest and smallest values of each of the following functions on their given intervals.

(I'll show you one)

f(x) = 2^x + x^2 [-4, 1]

I put in the function on the Y= screen as shown, then -4 < x < 1 (it's actually the less than or equal to sign)

It gives me a little more than half of the parabola, but I don't know where to go from there. I tried punching in the same as above using fMin( and fMax( on the Home screen and got -.285 for the minimum and -4 for the maximum, but I'm not sure if this is right.

Help please? Thank you!

Also, the units are in radians.

- Math -
**MathMate**, Wednesday, June 24, 2009 at 6:15pmDoes the TI-89 Titanium have a derivative function?

If it does, solve for

f'(x)=0, or do it by hand,

f'(x)

=d(2^x+x^2)/dx

= ln(2)*2^{x}+2x

so solve for

ln(2)*2^{x}+2x = 0

the solution of x will be the position of minimum, as shown in graphics.

I get x_{min}=-0.2845 for the position of minimum, and f(x_{min})=0.90197

So the fMin that you got corresponds to the value of x at the point of minimum.

**Related Questions**

Calculus - (This problem uses a TI-89 calculator) Find the largest and smallest ...

Calculus (repost) - This problem uses a TI-89 calculator) Find the largest and ...

Calculus Please Help - Let f(x)=e^(2x)-kx, for k greater than 0. Using a ...

Calculus (pleas help!!!) - Let f(x)=e^(2x)-kx, for k greater than 0. Using a ...

math - I never got the fractions, Determine the maximum and minimum values of ...

Calculus - Find the largest and smallest values of the given function over the ...

Chem21 - Rank these gases in order of increasing standard molar entropy: Column ...

Chemistry - Doing some homework, are my answers right? HCN= Polar HCOOH= Polar ...

Math - Hi,I need to know how to do question like this without using a calculator...

Math - Exponential - Please check if my answers are correct! Thank you. ...