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balandron [24]
3 years ago
9

Log_{7 }(5 - 3x)Find the derivative​

Mathematics
1 answer:
V125BC [204]3 years ago
6 0

Let <em>y</em> be the expression you want to differentiate:

y=\log_7(5-3x) \implies 7^y=5-3x

Now,

7^y=e^{\ln(7^y)}=e^{y\ln(7)}

Use the chain rule to differentiate both sides with respect to <em>x</em> :

\ln(7)e^{y\ln(7)}\dfrac{\mathrm dy}{\mathrm dx}=-3

Solve for d<em>y</em>/d<em>x</em> :

\ln(7)7^y\dfrac{\mathrm dy}{\mathrm dx}=-3

\dfrac{\mathrm dy}{\mathrm dx}=-\dfrac3{\ln(7)7^y}

\dfrac{\mathrm dy}{\mathrm dx}=\boxed{-\dfrac3{\ln(7)(5-3x)}}

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natali 33 [55]
You need to isolate b on one side of the equation then divide both side by h finally move b on the other side of the equation by subtracting it from both sides of the equation and then you have what b equals to
5 0
3 years ago
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PLEASE HELP!!! solve the right triangle​
DIA [1.3K]

Answer:

UV = 4.5 (not rounded)

TV = 3√3

m∠U = 60˚

Step-by-step explanation:

UV = Use sin function since you’re finding the hypotenuse with a given angle and opposite side.

sin(30) = 9/UV

9sin(30) = UV

4.5 = UV

TV = Use Tangent function (opp. over adj.) since you’re finding the adjacent side with a given angle and opposite side.

tan(30) = 9/TV

9tan(30) = TV

3√3 = TV

m∠U = Sum of all interior angles of a triangle is 180˚:

90˚ + 30˚ = 120˚

180˚ - 120˚ = 60˚

Hope this helps :)

7 0
3 years ago
. John has two coupons to use at a clothing store. One is for $20 off and the other is for 20% off. John wants to purchase a shi
zlopas [31]

Complete question :

John has two coupons to use at a clothing store. One is for $20 off and the other is for 20% off. John wants to purchase a shirt with one of the coupons and wants to pay the least amount that he can. Choose the answer that BEST describes the situation. * 1 point A. The shirt will have the lowest price with the $20 off coupon. B. The shirt will have the lowest price with the 20% off coupon. C. The shirt will cost the same with either coupon. D. It depends on the cost of the shirt as to which coupon will help John pay the lowest price.

Answer: D. It depends on the cost of the shirt as to which coupon will help John pay the lowest price.

Step-by-step explanation:

Given two different coupon options :

First: 20% off

Second = $20 off

To our hase with one which enables one to pay the amount of money :

The price of the shirt will determine which of the coupons will give the least amount. For instance, a shirts which which cost below $100 will require the $20 off coupon in other to attain the least payment amount. However for shirts which cost above $100, the 20% coupon yield the least amount. Shirts which cost $100. Both coupons yields the same discount amount.

6 0
4 years ago
Which equation shows an example of the associative property of addition? (–7 i) 7i = –7 (i 7i) (–7 i) 7i = 7i (–7i i) 7i × (–7i
mr Goodwill [35]

The equation which shows the associative property of addition is; (–7 + i) +7i = –7 (i +7i).

<h3>What is the associative property of addition?</h3>

Associative property of addition postulates that Changing the grouping of addends does not change the sum of the numbers. As an instance, ( 5 + 3 ) + 4 = 5 + ( 3 + 4 )

Consequently, the equation which shows the associative property of addition is; (–7 + i) +7i = –7 (i +7i)

Read more on associative property of addition;

brainly.com/question/2284106

#SPJ1

5 0
2 years ago
Take different values for x and find the value of 3x+5.​
Eva8 [605]

Answer:

when x=1

3x+5.=3×1+5=8

when x=0

3x+5.=3×0+5=5

Step-by-step explanation:

when x=-1

3x+5.=3×-1+5=-3+5=2

4 0
3 years ago
Read 2 more answers
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