2 years ago

What is charter culture

1 answer:

3 0

Charter culture or charter group. In plural societies, the early arriving ethnic group that created the first effective settlement and established the recognized cultural norms to which other, later groups are expected to conform

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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 ...

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