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vampirchik [111]

3 years ago

11

You travel 40mph in a car and then travel 70mph in a train. If the total trip takes 13 hours and you travel 760 miles how far di

d you travel in each method

1 answer:

sergij07 [2.7K]3 years ago

8 0

They would be riding in the train for 8 hours and in the car for 5 hours.

They spent 560 miles on the train
They spent 200 miles in the car

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If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate $x^4$ .

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$\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x+h)^4 - x^4}h$

Expand the numerator using the binomial theorem, then simplify and compute the limit.

$\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x^4+4hx^3 + 6h^2x^2 + 4h^3x + h^4) - x^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} \frac{4hx^3 + 6h^2x^2 + 4h^3x + h^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} (4x^3 + 6hx^2 + 4h^2x + h^3) = \boxed{4x^3}$

In general, the derivative of a power function $f(x) = x^n$ is $\frac{df}{dx} = nx^{n-1}$ . (This is the aptly-named "power rule" for differentiation.)

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2 years ago

Helppppp❤️ Please please

kodGreya [7K]

Answer:

B and D

Step-by-step explanation:

I think this is the answer

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