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2 years ago

Find the derivative of y= 1 / x

Mathematics

1 answer:

givi [52]2 years ago

6 0

Answer:

dy/dx = -1/ $x^{2}$

Step-by-step explanation:

y = 1/x

dy/dx = d/dx(1/x)

=> dy/dx = d/dx( $x^{-1}$ )

=> dy/dx = - $x^{-2}$

=> dy/dx = -1/ $x^{2}$

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There was 4/5 of a cake sitting on the counter. Daryl ate 1/3 of the left over cake. How much cake was left over after he ate? *

bulgar [2K]

Answer:

<h3> $\bold{\dfrac8{15}}$ of the cake </h3>

Step-by-step explanation:

$\dfrac45-\dfrac13\cdot\dfrac45=\dfrac{4\cdot3}{5\cdot3}-\dfrac4{15}=\dfrac{12}{15}-\dfrac4{15}=\dfrac8{15}$

5 0

2 years ago

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7Ba-3b%7D%7Ba%2B2b%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D" id="TexFormula1" title="\frac{a-3

choli [55]

Answer:

$a:b = -17:1$

Step-by-step explanation:

Given

$\frac{a-3b}{a+2b} = \frac{4}{3}$

Required

Find a:b

$\frac{a-3b}{a+2b} = \frac{4}{3}$

Cross Multiply

$3(a-3b) = 4(a+2b)$

Open brackets

$3a - 9b = 4a + 8b$

Collect Like Terms

$3a - 4a = 8b+9b$

$-a = 17b$

Divide through by -b

$\frac{-a}{-b} = \frac{17b}{-b}$

$\frac{a}{b} = \frac{17}{-1}$

$\frac{a}{b} = \frac{-17}{1}$

Represent as a ratio

$a:b = -17:1$

5 0

2 years ago

An antique car cost $32,00. It gains 8% in value every year. How much will it be worth in 6 years

denis23 [38]

If you mean $3,200 the answer is $5088

If you meant $32,000 the answer is $50779.98

6 0

3 years ago

F(x)=2x^2+2x-4 find vertex

8090 [49]

A = 2
b = 2
c = -4
"a" is greater than zero so the vertex is a minimum point and the graph is concave up.
The (x,y) point of the vertex is usually designated by the letters (h, k)
The "x" position (or "h") is calculated with this formula:
h = -b / 2a
h = -2 / 4
h = -1 / 2

"k" is calculated with this equation:
k = ah^2 + bh +c
k =(2*-1 / 2 * -1 / 2) + (2 * -1 / 2) + -4
k = (1 / 2) - 1 -4
k = -4.5
so the vertex is at point (-.5, -4.5)

Source:
http://www.1728.org/quadr3.htm

4 0

3 years ago

Solve for t. d=−16t2+4t t=12±41−4d‾‾‾‾‾‾√ t=8±1−4d‾‾‾‾‾‾√ t=18±1−4d√8 t=12±41−4d√2

dangina [55]

Answer:

$t=\dfrac{1}{8}\left(1\pm\sqrt{1-4d}\right)$

Step-by-step explanation:

Rearranging your quadratic to standard form, you get ...

16t^2 -4t +d = 0

For the quadratic formula, you have ...

a = 16

b = -4

c = d

so the solution is ...

$t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\t=\dfrac{-(-4)\pm\sqrt{(-4)^2-4(16)(d)}}{2(16)}=\dfrac{4\pm 4\sqrt{1-4d}}{32}\\\\t=\dfrac{1}{8}\left(1\pm\sqrt{1-4d}\right)$

7 0

2 years ago

Read 2 more answers

Find the derivative of y= 1 / x​

Find the derivative of y= 1 / x