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Yanka [14]
3 years ago
10

Use the chain rule to differentiate the following function.f(x)=(5x+sin^3(x)+sinx^3)^3

Mathematics
1 answer:
Bumek [7]3 years ago
4 0

f(x)=(5x+\sin^3(x)+\sin x^3)^3\\\frac{df(x)}{dx}=3(5x+\sin^3(x)+\sin x^3)^2\cdot (5+3\sin^2x\cos x+3x^2\cos x^3)

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3x + 12+ 9x - 72<br><br><br>Solve?​
Reil [10]

Answer:

12x - 60

Step-by-step explanation:

3x+12+9x-72\\=3x+9x+12-72\\=12x+12-72\\=12x-60

5 0
2 years ago
What's the number of electron for Fe?​
crimeas [40]

Answer:

The answer 26, given that it’s atomic number is 26, and the atomic number is equal to the number of protons, which is equal to the number of electrons. Assuming that it has a neutral charge, the answer would be 26.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
8.) It takes Fred 9 minutes to type and spell check 13 pages of a manuscript. Find how long it takes him to type and spell check
inysia [295]

It will take Fred 42 minutes to type and spell check 60 pages.

  • Let the first scenario be A.
  • Let the second scenario be B.
  • Let the unknown time be X.

Given the following data;

  • Time taken A = 9 minutes
  • Number of pages A = 13 pages
  • Number of pages B = 60 pages
  • Time taken B = X minutes

To find how long it takes him to type and spell check 60 pages;

We would use direct proportion to express the work described and solve for the unknown variable (time).

9 \;minutes : 13 \;pages\\\\X \;minutes : 60 \;pages

Cross-multiplying, we have;

9 × 60 = 13 × X

540 = 13X\\\\X = \frac{540}{13}

<em>X = 41.54 ≈ 42 minutes</em>

Therefore, it will take Fred 42 minutes to type and spell check 60 pages.

Find more information: brainly.com/question/89674

7 0
3 years ago
Which is the equation of a line with a slope of -1/3 and a y-intercept at (0,1)?
Nutka1998 [239]

Answer:

The answer is

\huge \boxed{y =  -  \frac{1}{3}x + 1 }

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

y -  y_1 = m(x -  x_1)

where

m is the slope

( x1 , y1) is the point

From the question the point is (0,1) and slope - 1/3

The equation is

y - 1 =  -  \frac{1}{3}(x - 0) \\ y - 1 =  -  \frac{1}{3} x

We have the final answer as

y =  -  \frac{1}{3} x + 1 \\

Hope this helps you

4 0
3 years ago
Read 2 more answers
Given the function, f(x) = | x-2 | + 1
Genrish500 [490]
What do you need to do with this?
8 0
3 years ago
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