3 years ago

I'll give the brainliest to the first right answer!

1 answer:

katrin2010 [14]3 years ago

8 0

It is c. that is because there are 10 red to 20 black which is a 10:20 ratio. you can simplify this to 1:2 since they are both divisible by 10

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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 ...

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