Thread: Derivative Question

Hi

The following question i am having problem finishing off.

1)For the function P(x) = 5x^{1.5} e^{-2x}

Find the first and second derivative, and note each point where the first and second derivative is zero. What happens at x=0?

I have found the first and second derivatives, and is the next step assigning x=0. I done this i always get 0.







The next part is to sketch a graph of P(x) against x, noting each of the point identified in (a).

P.s

Originally Posted by Paymemoney

Hi

The following question i am having problem finishing off.

1)For the function P(x) = 5x^{1.5} e^{-2x}

Find the first and second derivative, and note each point where the first and second derivative is zero. What happens at x=0?

I have found the first and second derivatives, and is the next step assigning x=0. I done this i always get 0.







The next part is to sketch a graph of P(x) against x, noting each of the point identified in (a).

P.s

You made a small error with the product rule. The 0.5 I marked in red should be 1.5. I didn't check the second derivative.

Originally Posted by Paymemoney

Hi

The following question i am having problem finishing off.

1)For the function P(x) = 5x^{1.5} e^{-2x}

Find the first and second derivative, and note each point where the first and second derivative is zero. What happens at x=0?

I have found the first and second derivatives, and is the next step assigning x=0. I done this i always get 0.







The next part is to sketch a graph of P(x) against x, noting each of the point identified in (a).

P.s

Your first derivative doesn't look correct. It should be: