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
Nesterboy [21]
3 years ago
8

Differentiating ln inside a bracket

Mathematics
1 answer:
geniusboy [140]3 years ago
8 0

y=(\ln(3x+2))^3\\\frac{dy}{dx}=3\ln^2(3x+2)\cdot\frac{3}{3x+2}=9\frac{\ln^2(3x+2)}{3x+2}\\\mbox{for}\,\,3x+2>0

You might be interested in
To determine the inverse of a point, you?
oksano4ka [1.4K]

So if you're asked to graph a function and its inverse, all you have to do is graph the function and then switch all x and y values in each point to graph the inverse. Just look at all those values switching places from the f(x) function to its inverse g(x) (and back again), reflected over the line y = x.

8 0
4 years ago
Sissy wants to enlarge a picture of a princess so that she can put it on the wall in her daughter’s room. What will be the area
KATRIN_1 [288]

Answer:

The answer is D on edge.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A mass weighing 3 lb stretches a spring 3 in. If the mass is pushed upward, contracting the spring a distance of 1 in and then s
Bas_tet [7]

Answer:

Step-by-step explanation:

m=\frac{3}{32}\\ \gamma =0\text{ damping constant.}\\ k=\frac{3}{\frac{1}{4}}=12\\ F(t)=0\\ \text{so equation of motion is }\\ mu''+\gamma u'+ku=F(t)\\ \frac{3u''}{32}+12u=0\\ u''+128u=0\\ \text{and initial conditions are}\\ u(0)=-\frac{1}{12}\\ u'(0)=2\\ u''+128u=0\\ \text{characterstic equation is}\\ r^2+128=0\\ \text{roots are }\\ r=\pm 8\sqrt{2}i\\ \text{therefore general solution is}\\ u(t)=A\cos8\sqrt{2}t+Bsin8\sqrt{2}t\\ \text{using initial conditions we get}\\ A=-\frac{1}{12}\\ B=\frac{\sqrt{2}}{8}\\ \text{therefore solution is }\\ u(t)=-\frac{1}{12}\cos8\sqrt{2}t+\frac{\sqrt{2}}{8}\sin8\sqrt{2}t\\
{hence}\\R=\sqrt{\frac{11}{288}}\\\\\sigma=\pi - \tan^{-1}\frac{1}{\sqrt{2}}\\\\\omega_0=8\sqrt{2}\\T=\frac{4}{4\sqrt{2}}

3 0
3 years ago
What is the value of d? Assume that the line is a tangent to the circle.
motikmotik

We have been given a chord and tangent to a circle. We have been minor arc measure that is equal to 118^{0}.

Since we know that angle formed by a secant and tangent of circle is half of the measure of intercepted arc.

\measuredangle x=\frac{1}{2}m \widehat{ABC}

We can find intercepted arc by subtracting minor arc measure from 360 degrees because minor and major arcs add up to 360 degrees.

360^{0}-118^{0}=242^{0}

Now we will plug given values in our  formula,

d^{0}=\frac{242}{2}=121

Therefore, the measure of d is 121 degrees.


5 0
3 years ago
Read 2 more answers
Which is the correct way to evaluate f(15) for the function f(x)=2(x+3)?
Thepotemich [5.8K]

Answer:

the first option

Step-by-step explanation:

Start by substituting 15 for x. Then, simplify to get f(15)=36.

cuz

f(x)=2(x+3)

f(15)=2(15+3)

= 2×18=36

gimme brainliest plz

3 0
3 years ago
Other questions:
  • Please answer it now in two minutes
    10·1 answer
  • 37,015 in word form please
    11·2 answers
  • Suppose ΔDEF is the image of a translation of ΔABC. If D is at (−6, −2), what translation rule maps ΔABC to ΔDEF? * Captionless
    11·1 answer
  • Solve for x.<br><br> 3x - 13 = 2<br><br> (SHOW YOUR WORK)
    13·1 answer
  • PLEASE HELP! NEED TO SUBMIT ASAP!!!!!!!! PLEASE, THANK YOU IN ADVANCE!!!!! 11PTS
    15·1 answer
  • Type the correct answer in the box log's​
    11·1 answer
  • Estimate the solution of the system of equations. Write the answer as an ordered pair.
    10·1 answer
  • Can u pls help me with this question ​
    6·1 answer
  • GIVING BRAINLIEST, FIVE STARS AND THANKS!! PLS AND TY!!
    8·1 answer
  • Assuming these triangles are similar,solve for x.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!