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zhenek [66]
1 year ago
13

Differentiate each function with respect to x. Show steps

Mathematics
1 answer:
konstantin123 [22]1 year ago
4 0

The derivative of the function is f'(x) = 9x² tan x⁴ + 4x³(3x³ + 2) sec² x⁴.

<h3>What is the derivative of a function?</h3>

When a single-variable function exists at a given input value, its derivative is represented by the slope of the tangent line to the function's graph at that point.

The given function is f(x) =tan x⁴ · (3x³ + 2).

Differentiate the function with respect to x:

f'(x) = tan x⁴ · 9x² + (3x³ + 2) sec² x⁴· 4x³

      = 9x² tan x⁴ + 4x³(3x³ + 2) sec² x⁴

Hence, the derivative of the function is

f'(x) = 9x² tan x⁴ + 4x³(3x³ + 2) sec² x⁴

Learn more about the derivatives:

brainly.com/question/25324584

#SPJ1

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Let p represent any number in the interval (- 18,22). Rewrite the possible values for p in inequality notation.
Nataliya [291]

Answer:

-18 < p < 22

Step-by-step explanation:

We are given the following information in the question.

The open interval: (- 18,22).

Let p belong to the given interval then p represents all the values belonging to the given interval.

Open Interval: An open interval is a interval that does not include the end points.

Thus, we can write:

-18 < p < 22

is the required inequality form required.

That is p can take values greater than -18 and smaller than 22.

6 0
3 years ago
Find two numbers witha sum of 20 and a difference of 14
bixtya [17]

from the given equation

X+Y=20-->i

X-Y=14--->ii

add eq i and eq ii

2x=34

x=17

putting the value of x=17 in eq i

17+y=20

then y = 3 so the right answer is

17 and 3

6 0
3 years ago
I need help with math please
Dennis_Churaev [7]

Answer:

47/30

Step-by-step explanation:

2.35 * 2/3 =

= 2 35/100 * 2/3

= 2 7/20 * 2/3

= 47/20 * 2/3

= 94/60

= 47/30

5 0
2 years ago
100 POINTS plz help Chuck drops a rock from a height of 70 m. How long will it take the rock to hit the ground?
lord [1]

Answer:

3.8

Step-by-step explanation:

We are going to plug in the values of the equation, so h(t)=-4.9^2+v0t+h0 will

now be h(t)=-4.9^2+0+70

Now we will find the a b and c of the equation,  a=-4.9 b=0 c=70

Now we must find the discriminant of the equation,  which the equation for that is D=b^2+(-4)(a)(c)

So D=1,372

Now we use the quadratic formula (see picture below for finished product)

4 0
3 years ago
Read 2 more answers
Click on a factor pair of 32.
jasenka [17]

Answer:

1, 2, 4, 8, 16, 32

Step-by-step explanation:

Mark me Brainllest

8 0
2 years ago
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