1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
inna [77]
3 years ago
10

From 1st principle find the derivative of log (ax+b)

Mathematics
1 answer:
OLga [1]3 years ago
5 0

Answer:

Step-by-step explanation:

The parent function here is y = log x, where 10 is the base.

The derivative of y = log x is dy/dx = (ln x) / ln 10.

The derivative of y = log (ax+b) is found in that manner, but additional steps are necessary:  differentiate the argument ax + b:

The derivative with respect to 10 of log (ax + b) is:

dy/dx = [ 1 / (ax + b) ] / [ ln 10 ] *a, where a is the derivative of (ax + b).

Alternatively, we could express the answer as

dy/dx = [ a / (ax + b) ] / [ ln 10 ]

You might be interested in
Which value of www makes 14=11+\dfrac{w}{8}\cdot614=11+ 8 w ​ ⋅614, equals, 11, plus, start fraction, w, divided by, 8, end frac
Liono4ka [1.6K]

Answer:

Option B) w = 4

Step-by-step explanation:

We have to find the value of w to make the given expression true.

The given expression is:

14=11+\dfrac{w}{8}\cdot6\\\\14-11 = \dfrac{w}{8}\cdot6\\\\3 = \dfrac{w}{8}\cdot6\\\\\Rightarrow w = \dfrac{3 \cdot 8}{6} = 4

Option B) w = 4 is the correct answer.

8 0
3 years ago
Read 2 more answers
In 2010, the population of a city was 161,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 6.7%.
solniwko [45]

Answer:

99%

Step-by-step explanation:

2010 population = 161,000

From 2010 to 2015, the population grew by 8%.

2010 to 2015 = 161,000 + (8% of 161,000)

= 161,000 + (0.08 * 161,000)

= 161,000 + 12,880

= 173,880

2010 to 2015 = 173,880

From 2015 to 2020, it fell by 6.7%

2015 to 2020 = 173,880 - (6.7% of 173,880)

= 173,880 - (0.067 * 173,880)

= 173,880 - 11,649.96

= 162,230.04

2015 to 2020 = 162,230.04

what percent did the city grow from 2010 to 2020.

= 161,000 / 162,230.04 × 100

= 0.9924179270374 × 100

= 99.241792703743

Approximately, 99% to the nearest whole number

4 0
2 years ago
Please help me with this question.
kow [346]
They are equivalent. combine like terms on the first one and 9x-4x+25 can be simplified to 5x+25.
6 0
2 years ago
I dont get this ............
Karo-lina-s [1.5K]

Answer:

i think these inequalities shows B

6 0
3 years ago
Pls explain how to solve this elimination problem!!
trapecia [35]
Multiply the second equation by -2. This will cancel out the y
6 0
2 years ago
Other questions:
  • Loretta is rolling an unfair 6 sided die with a single number between 1 and 6 on each face. She has a 70% chance of rolling a fo
    10·1 answer
  • Dan's science magazine has a mass of 256.674 grams. What is the mass of his magazine rounded to the nearest tenth?
    13·2 answers
  • I’m very confused on what to do right now
    11·1 answer
  • Simplify sec ( t ) cos ( t ) to a single trig function.
    6·1 answer
  • THE vertices of a triangle are P(-1,3), Q(2,-1), and R(5,3) choose all the congruent sides of the triangle
    9·1 answer
  • PLEASEEEE ANSWER ASAP
    13·1 answer
  • You've been hired to plan a New Year's Eve party at the Governor's Mansion. The Mansion Charges: $1, 250 plus $20 per person.
    5·1 answer
  • Simplify the expression below.<br> 13y + x - 7y
    11·2 answers
  • 5 Carla packs 4 pairs of pants, 2 pairs of shorts, and 3 skirts for her vacation.
    8·1 answer
  • Loli-Land Candy Store sells a 12 ounce bag of 60 mints. What is the number of mints per ounce?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!