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3 years ago

Solve this URGENT! Differentiation

Mathematics

1 answer:

Sophie [7]3 years ago

6 0

Instead of using the quotient rule, you can first expand y :

y = (4x - 1)^2 / x ^2 = (16x ^2 - 8x + 1) / x ^2 = 16 - 8/x + 1/x ^2

Then the derivative is

dy/dx = -8/x ^2 - 2/x ^3

The tangent to the curve at (-1, 25) then has a slope or gradient of

dy/dx = -8/(-1)^2 - 2/(-1)^3 = -6

You might be interested in

A quadrilateral has vertices A, B, C, and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units

Kryger [21]

Answer:

The correct option is O B'

Step-by-step explanation:

We have a quadrilateral with vertices A, B, C and D. A line of reflection is drawn so that A is 6 units away from the line, B is 4 units away from the line, C is 7 units away from the line and D is 9 units away from the line.

Now we perform the reflection and we obtain a new quadrilateral A'B'C'D'.

In order to apply the reflection to the original quadrilateral ABCD, we perform the reflection to all of its points, particularly to its vertices.

Wherever we have a point X and a line of reflection L and we perform the reflection, the new point X' will keep its original distance from the line of reflection (this is an important concept in order to understand the exercise).

I will attach a drawing with an example.

Finally, we only have to look at the vertices and its original distances to answer the question.

The vertice that is closest to the line of reflection is B (the distance is 4 units). We answer O B'

8 0

3 years ago

Trina is purchasing a new bike the store is having 20% off sale and she as 10% coupon of the sale price if the original price of

marusya05 [52]

20% of 89.75 is 17.95
$\frac{20}{100} = \frac{x}{89.75} \\ x = \frac{89.75 \times 20}{100} = \frac{1795}{100} = 17.95$
so :
$89.75 - 19.95 = 71.8$
the Trina's coupon will subtract the answer by 10%:

10%of 71.8 is 7.18
$\frac{10}{100} = \frac{x}{71.8} \\ x = \frac{71.8 \times 10}{100} = \frac{718}{100} = 7.18$
so the final answer is:
$71.8 - 7.18 = 64.62$
she has to pay $64.62
hope this helps

8 0

3 years ago

Find the mean of the following: 158, 213, 107, 213, and 213. If needed, round your answer to the nearest tenth

Shalnov [3]

Answer:

180.8

Step-by-step explanation:

1. Add all the numbers

2. Divide the sum by 5

3. you get the answer

4 0

3 years ago

Read 2 more answers

~**Will mark brainliest **~ For the correct answers to all three questions

aleksandr82 [10.1K]

$\dfrac{42}{65}\cdot\dfrac{25}{36}\cdot\dfrac{26}{49}=\dfrac{2\cdot3\cdot7}{5\cdot13}\cdot\dfrac{5\cdot5}{2\cdot2\cdot3\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\dfrac{7}{13}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2\cdot13}{7\cdot7}=\\\\\\=\dfrac{1}{1}\cdot\dfrac{5}{2\cdot3}\cdot\dfrac{2}{7}=\dfrac{5}{3}\cdot\dfrac{1}{7}=\dfrac{5}{21}$

$\dfrac{21}{32}\cdot\dfrac{39}{120}\cdot\dfrac{40}{65}=\dfrac{21}{32}\cdot\dfrac{3\cdot13}{2\cdot2\cdot2\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot2\cdot5}{5\cdot13}=\\\\\\=\dfrac{3\cdot7}{32}\cdot\dfrac{13}{2\cdot2\cdot2\cdot5}\cdot\dfrac{2\cdot2\cdot2}{13}=\dfrac{21}{32}\cdot\dfrac{1}{5}\cdot\dfrac{1}{1}=\dfrac{21}{160}$

$\dfrac{15}{90}\cdot\dfrac{36}{75}\cdot\dfrac{27}{42}=\dfrac{3\cdot5}{2\cdot3\cdot3\cdot5}\cdot\dfrac{2\cdot2\cdot3\cdot3}{3\cdot5\cdot5}\cdot\dfrac{3\cdot3\cdot3}{2\cdot3\cdot7}=\\\\\\=\dfrac{1}{2\cdot3}\cdot\dfrac{2\cdot2\cdot3}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{1}\cdot\dfrac{2}{5\cdot5}\cdot\dfrac{3\cdot3}{2\cdot7}=\dfrac{1}{25}\cdot\dfrac{9}{7}=\dfrac{9}{175}$

6 0

3 years ago

Which two equations are parallel?

Mekhanik [1.2K]

Answer: The third option is correct.

Step-by-step explanation:

In order for two equations to be parallel, the equations' slopes must be the same.

5 0

2 years ago