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3 years ago

True of False:

Mathematics

1 answer:

Tatiana [17]3 years ago

3 0

Answer:

True

Step-by-step explanation:

If it is negative, it is going down

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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.)

3 0

2 years ago

The expression (2x2)3 is equivalent to _____.<br><br> a.6x2<br> b.6x5<br> c.8x6

nignag [31]

Answer:

Step-by-step explanation:

(2x2)3

= (4)3

=12

6x2 = 12

So the answer is A

4 0

3 years ago

Read 2 more answers

An office supply company orders packs of pens for two of its stores. For the first store, the order is for 60 packs of ballpoint

AlekseyPX

Answer:

Option A. The cost of one pack of ballpoint pens is $3 and the cost of one pack of gel pens is $7.

Step-by-step explanation:

Let

x -----> the cost of one pack of ballpoint pens

y -----> the cost of one pack of gel pens

we know that

60x+25y=355 -----> equation A

120x+30y=570 -----> equation B

Solve the system of equations by graphing

Remember that the solution of the system is the intersection point both graphs

The solution is the point (3,7)

see the attached figure

therefore

The cost of one pack of ballpoint pens is $3

The cost of one pack of gel pens is $7

5 0

3 years ago

A sporting goods store sells triangular team pennants in two sizes. The base of one pennant is 18 in. and the length of the side

Helen [10]

So if the larger pennant is 18”x 9” x 9”
and the smaller one is about the same in similar size, with the bass measuring 6”..
I would take the bases of both and divide them 6” smaller base goes in to the 18” larger base 3 times so I take the sides 9” and see what goes into it 3 times 9 divided by 3 is 3 .. so the sides would be 3 making the smaller triangle 6x3x3

8 0

3 years ago

What is the slope,m,of the line that passes through the points (4,2) and (-5,-2)

V125BC [204]

Answer:

4/9 is the answer

Step-by-step explanation:

trust me it's correct

5 0

3 years ago