2 years ago

I need to no the answer to this

1 answer:

3 0

<2=<4 the second choice

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So 0.25 is essentially 25/100. Divide 25 from the top and bottom to get 1/4

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

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emmasim [6.3K]

Answer: Option 2 or 3 times the square root of -5

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