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satela [25.4K]
3 years ago
13

F(x)=e*1/xCalculate f'(x) ​

Mathematics
1 answer:
Murljashka [212]3 years ago
6 0

Answer:

\huge\boxed{f'(x)=-\dfrac{e^\frac{1}{x}}{x^2}}

Step-by-step explanation:

(e^x)'=e^x\\\\\bigg[f\bigg(g(x)\bigg)\bigg]'=f'\bigg(g(x)\bigg)\cdot g'(x)\\\\\left(\dfrac{1}{x}\right)'=-\dfrac{1}{x^2}\\\\====================

f(x)=e^\frac{1}{x}=\left(e^\frac{1}{x}\right)'\cdot\left(\dfrac{1}{x}\right)'=e^\frac{1}{x}\cdot\left(-\dfrac{1}{x^2}\right)=-\dfrac{e^\frac{1}{x}}{x^2}

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Help me i dont really understand
xenn [34]

Answer:

73

Step-by-step explanation:

12(6) + 1/4 • 2^2

Square the 2 first.

12(6) + 1/4 • 4

Then multiply from left to right.

72 + 1

Lastly, add.

73

The parenthesis around the 6 mean multiplication, not the Parenthesis that are grouping symbols if you are learning PEMDAS. So your question has no grouping symbol parenthesis. Next comes Exponents, that's why we squared the 2. Multiply and Divide come next IN THE ORDER THAT THEY APPEAR FROM LEFT TO RIGHT. Then the same method with adding and subtracting. That's called the order of operations.

3 0
2 years ago
In the numerical sentence below, A = 8, D = 1/2 , and F = 1/4. What are the values B, C, and E if the sentence below is equivale
a_sh-v [17]
B=3; C=16; and E=4096.

Using the information we have gives us

8^B \times C^{\frac{1}{2}} = E^{\frac{1}{4}}

We know that:
8^B = 2;
\\
\\C^{\frac{1}{2}}=4;
\\
\\E^{\frac{1}{4}}=8

We know that 2³ = 8, so B = 3.

To "undo" a square root, we square the number; 4²=16, so C = 16.

To "undo" a fourth root, we raise the answer to the fourth power; 8⁴ = 4096, so E = 4096.
3 0
3 years ago
Read 2 more answers
The costs of different weights of onions sold at a grocery store are shown in the table below. What are the independent and depe
Furkat [3]

Answer:

Independant = onions wight. Dependent = cost.

Step-by-step explanation: The Cost depends on how much the onions weight.

3 0
3 years ago
In the adjoining figure, ABCD is a square of side 28 cm find the area of shaded region​
vodka [1.7K]

Step-by-step explanation:

Area of square

A = s²

A = 28²

A = 28 × 28

A = 784 cm²

7 0
2 years ago
A (-5,3)
stellarik [79]

Answer:

- 3/4

Step-by-step explanation:

m = difference of y / difference of x = (3 - (-3)) / (-5 -3) = 6 / -8 = - 3 / 4

6 0
3 years ago
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