2 years ago

Find the derivative g(x)=ln(2x^2+1)

Mathematics

1 answer:

lana [24]2 years ago

8 0

Answer:

4x / (2x^2+1)

Step-by-step explanation:

g(x)=ln(2x^2+1)

Using u substitution

u= 2x^2 +1

du = 4x dx

g'(x) = d/du ( g(u) du)

We know that the derivative of ln(u) = 1/u since this is always positive

= 1/ u* du

Substituting x back into the equation

g'(x) = 1/(2x^2+1) * 4x

= 4x / (2x^2+1)

You might be interested in

A 1 inch thick stack of printer paper is found to contain 175 sheets to the nearest thousandth of an inch how thick is each shee

MariettaO [177]

the answer you're looking for, rounded to the nearest thousandth, is 0.006 and we get that answer because we must round 0.0057 to the nearest thousandth, meaning that we must look at the seven, and realize that the seven tells us that the 5 is supposed to be a 6 because we are rounding to the nearest thousandth. So the answer is 0.006 I hope that this helps!

3 0

2 years ago

a recipe calls for 3 ounces of flour for every 2 ounces of sugar. Find the constant of proportionality.

Ket [755]

3:2

for every 3 ounces of flour, you need 2 ounces of sugar

7 0

3 years ago

Find the tenth term in the sequence: 12,10,8,... a) -10 b) -6 c) -8 d) -18

raketka [301]

The answer is -6. because 12,10,8,6,4,2,0,-2,-4,-6.

6 0

2 years ago