2 years ago

Anybody know the correct answer?

1 answer:

5 0

The expected value is the sum of products of probability and value.
.. 0.40*(-$25000) +0.25*($0) +0.35*($25000) = -$1,250

The expected value is a loss of $1250.

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AP Calculus AB - Differentiating using the Product Rule

faltersainse [42]

Answer:

h'(t) = (√t)(1 -5t²)/(2t)

Explanation:

First of all, your product rule needs to be written correctly.

(f(x)g(x))' = f'(x)g(x) +f(x)g'(x)

You have ...

$h(t)=\sqrt{t}(1-t^2)\\\\f(t)=\sqrt{t} \qquad f'(t)=\dfrac{1}{2\sqrt{t}}=\dfrac{\sqrt{t}}{2t}\\\\g(t)=1-t^2 \qquad g'(t)=-2t\\\\h'(t)=f'(t)g(t)+f(t)g'(t)=\dfrac{\sqrt{t}}{2t}(1-t^2)+\sqrt{t}(-2t)\\\\h'(t)=\dfrac{\sqrt{t}(1-t^2-4t^2)}{2t}=\dfrac{\sqrt{t}(1-5t^2)}{2t}$