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3 years ago

LEARNING TASK 1

Mathematics

1 answer:

umka21 [38]3 years ago

3 0

Answer:

Please where are the boxes

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Differentiate Functions of Other Bases In Exercise, find the derivative of the function.

WARRIOR [948]

Answer:

$\dfrac{dy}{dx} =\dfrac{2 x + 6}{ \log{\left (10 \right )}\left(x^{2} + 6 x\right)}$

Step-by-step explanation:

given

$y = \log_{10}{(x^2+6x)}$

using the property of log $\log_ab=\frac{log_cb}{log_ca}$ , and if c = $e$ , $\log_ab=\frac{ln{b}}{ln{a}}$ , we can rewrite our function as:

$y = \dfrac{\ln{\left (x^{2} + 6 x \right )}}{\ln{\left (10 \right )}}$

now we can easily differentiate:

$\dfrac{dy}{dx} = \dfrac{1}{\ln{10}}\left(\dfrac{d}{dx}(\ln{(x^{2} + 6x)})\right)$

$\dfrac{dy}{dx} = \dfrac{1}{\ln{10}}\left(\dfrac{2x+6}{x^{2} + 6x}\right)$

$\dfrac{dy}{dx} =\dfrac{2 x + 6}{ \log{\left (10 \right )}\left(x^{2} + 6 x\right)}$

This is our answer!

3 0

3 years ago

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I will give brainliest!! please help!!!

hram777 [196]

Answer:

Yes

Im pretty sure its like that dont hate if i get one wrong

6 0

4 years ago

Haii guys im soo bored

Pani-rosa [81]

Answer:

among us

Step-by-step explanation:

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5 0

3 years ago

Read 2 more answers

Help I've got 5min to figure it out 20 points for 1st actual answer and brainlyist

VARVARA [1.3K]

Chronological order
Hoped this help

4 0

3 years ago

Find the 7th term of the geometric sequence with the given terms.

ohaa [14]

Answer:

1. 1458

2. 500 or -500

Step-by-step explanation:

1. a4=54, a5=162

r = 162/54 = 3

a7 = a5 × r²

= 162 × 3² = 1458

2.a4=-4, a6=-100

r² = -100/-4 = 25

r = +/- 5

a7 = a6 × r

= -100 × +/- 5

= +/- 500

3 0

4 years ago