SOLUTION: Please help me solve this problem: 1. Determine the intervals of increase and decrease of y=2e^(-5x^2) 2. Where is the curve of the graph y=2e^(-5x^2) concave upward and downw

Question 1014991: Please help me solve this problem:
1. Determine the intervals of increase and decrease of y=2e^(-5x^2)
2. Where is the curve of the graph y=2e^(-5x^2) concave upward and downward?
Thank-you, your help is always appreciated!
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Differentiate.

Since the second term is always positive, the sign of the derivative is determined by the value of x.
Positive (increasing) when , negative (decreasing) when .
.
.
.
Differentiate again,

Again the second term is always positive.
The quadratic term determines the sign of the second derivative.

So the function is concave up (,), concave down from (,), and concave up from (,).
.
.
.

.
RELATED QUESTIONS
Please help me solve this problem, I have answered most of the questions, but I would... (answered by stanbon,solver91311)

Please help me solve this problem: Where on the curve x^2 - 2xy + y^3 = 1 is the slope (answered by richard1234)

Hello there, I'm having trouble with this question, and was wondering if you could... (answered by lwsshak3)

please help me solve this problem. y is equal to 3 more than the absolute value of x;... (answered by stanbon)

Hello amazing tutors, can you help me solve this question? Thank youu The equation of... (answered by robertb)

Im doing a polynomials worksheet and i dont understand it at all. The polynomials are... (answered by josgarithmetic)

Please help me solve this problem: Determine the x-intercepts of the curve which has a (answered by rothauserc)

Good day, I would like help with finding the intervals of increase and decrease of this... (answered by KMST)

{{{ f(x) = (2/5)x^5 - (1/4)x^4 - (1/3)x^3 - 8 }}}. a. Determine all values of x where... (answered by solver91311)