What is the value of h in the triangle

Differentiate the function. f(x) = sin(9 ln(x))

gayaneshka [121]

Answer: $f'(x)=\dfrac{9\cos(9\ln (x))}{x}$ .

Step-by-step explanation:

The given function is

$f(x)=\sin(9\ln (x))$

Using chain rule differentiate w.r.t. x.

$f'(x)=\cos(9\ln (x))\dfrac{d}{dx}(9\ln (x))$ $\left[\because \dfrac{d}{dx}\sin x=\cos x\right]$

$f'(x)=\cos(9\ln (x))\left[9\dfrac{d}{dx}(\ln (x))\right]$

$f'(x)=\cos(9\ln (x))\left[9\times \dfrac{1}{x}\right]$ $\left[\because \dfrac{d}{dx}\ln x=\dfrac{1}{x}\right]$

$f'(x)=\dfrac{9\cos(9\ln (x))}{x}$

Therefore, $f'(x)=\dfrac{9\cos(9\ln (x))}{x}$ .

5 0

3 years ago

Find g(1) if g(x) = 1x+5

Nikitich [7]

Answer:

g(1) = 6

Step-by-step explanation:

Substituting 1 into g(x):

g(1) = 1(1) + 5

= 1 + 5

= 6

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

8 0

2 years ago

The store owner tells the girls that half of the DVDS are out on loan. How many DVDS does the store own in total?

patriot [66]

3

Step-by-step explanation:

i need help to

3 0

2 years ago

HELLLLPPPP!!!! PLEASSSSEEEE! 50 POINTS!

Vera_Pavlovna [14]

Step-by-step explanation:

here's your solution

=> in first figure , base = 5.5, perpendicular =7.8

=> h^2 = 5.5^2 + 7.8^2

=> h^2 = 30.25 + 60.84

=>h^2 = 91.09

=> h = √91.09

=> h = 9.5

 Both figure are congruent

enc we will get a rectangle by add both 

hope it helps

3 0

3 years ago

Read 2 more answers

What ratios are less than 8 to 10

never [62]

5 to 10 is just one of many examples. Hope this helps :)

7 0

3 years ago

Read 2 more answers

What is the value of h in the triangle​

What is the value of h in the triangle