Math  /  Calculus

Question6. Find the exact absolute maximum and minimum of h(x)=xex2h(x)=x e^{-x^{2}} on the interval [1,1][-1,1].
7. Let f(x)=ln(2x33x2)f(x)=\ln \left(2 x^{3}-3 x^{2}\right). Find all values of xx for which f(x)f^{\prime}(x) is 0 or undefined. Determine

Studdy Solution
The **absolute maximum** of h(x)h(x) is 22e\frac{\sqrt{2}}{2\sqrt{e}} at x=22x = \frac{\sqrt{2}}{2}, and the **absolute minimum** is 22e-\frac{\sqrt{2}}{2\sqrt{e}} at x=22x = -\frac{\sqrt{2}}{2}.
For f(x)f'(x), the derivative is zero at x=1x = 1 and undefined at x=0x = 0 and x=32x = \frac{3}{2}.

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord