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

Mathematics

1 answer:

lana [24]3 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)

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larisa86 [58]

Answer: 920.3 ft

Step-by-step explanation:

$\tan 7^{\circ}=\frac{113}{x} \\ \\ x(\tan 7^{\circ})=113 \\ \\ x=\frac{113}{\tan 7^{\circ}} \approx \boxed{920.3 \text{ ft}}$

4 0

1 year ago

Convert 80 km per hour and 120 km per hour to meters per second

Burka [1]

hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა

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$\large \bold {ANSWER}$

$\large \boxed { \large \sf \green{ 80 km/h = 22.22 m/s }}$
$\large \boxed { \large \sf \green{ 120 km/h = 33.33 m/s }}$

$\large \bold {SOLUTION}$

The first thing we must do is convert kilometers to meters. We will do this by multiplying by 1,000, since 1 km corresponds to 1,000 meters.

80*1000 = 80,000
120*1000 = 120,000

Now that we've done that, let's divide the values by 3,600, because an hour is 60 minutes, and each minute is 60 seconds, so 60*60 is 3,600.

$\frac{80.0\not0\not0}{3.6\not0\not0}=22.22$