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2 years ago

5

Find the absolute and local maximum and minimum values ofÂ fÂ . (Enter your answers as a comma-separated list. If an answer does

not exist, enter DNE.)
f(t)=4cos(t),Â â3Ï/2â¤tâ¤3Ï/2

1 answer:

larisa86 [58]2 years ago

6 0

Answer:

f(t)=4cos(t),Â â3Ï/2â¤tâ¤3Ï/2

Step-by-step explanation:

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maria [59]

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The sixteen people to March in the sportsmanship parade

Step-by-step explanation:

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3 years ago

What is the graph of x-y=1?

vesna_86 [32]

Answer:

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Step-by-step explanation:

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2 years ago

Please look at pic below. Will give 100 points!!!!! NUMBER 2 I NEED HELP

natta225 [31]

Answer:

#2

It is assumed the base of the prism is a square wit side of 5 cm.

<u>The volume is:</u>

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2 years ago

Read 2 more answers

#9. Solve: 8x + 5 = 3x + 15<br><br> X = 4<br> x = 2<br> x = 20/11<br> x = 20

Jobisdone [24]

Answer:

x = 2

Step-by-step explanation:

8x + 5 = 3x + 15

8x - 3x + 5 = 3x - 3x + 15

5x + 5 = 15

5x + 5 - 5 = 15 - 5

5x = 10

5x / 5 = 10 / 5

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2 years ago

Greetings. As a beginner, I'm struggling a bit to learn calculus. May I know what is the derivative of x to the power 4 step by

elena-14-01-66 [18.8K]

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

We have

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

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