Answer:
![f(x) =\sqrt{x} sin (x)](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%5Csqrt%7Bx%7D%20sin%20%28x%29)
And on this case we can use the product rule for a derivate given by:
![\frac{d}{dx} (f(x)* g(x)) = f'(x) g(x) +f(x) g'(x)](https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%7D%7Bdx%7D%20%28f%28x%29%2A%20g%28x%29%29%20%3D%20f%27%28x%29%20g%28x%29%20%2Bf%28x%29%20g%27%28x%29)
Where
and
And replacing we have this:
![f'(x)= \frac{1}{2\sqrt{x}} sin (x) + \sqrt{x}cos(x)](https://tex.z-dn.net/?f=%20f%27%28x%29%3D%20%5Cfrac%7B1%7D%7B2%5Csqrt%7Bx%7D%7D%20sin%20%28x%29%20%2B%20%5Csqrt%7Bx%7Dcos%28x%29)
Step-by-step explanation:
We assume that the function of interest is:
![f(x) =\sqrt{x} sin (x)](https://tex.z-dn.net/?f=%20f%28x%29%20%3D%5Csqrt%7Bx%7D%20sin%20%28x%29)
And on this case we can use the product rule for a derivate given by:
![\frac{d}{dx} (f(x)* g(x)) = f'(x) g(x) +f(x) g'(x)](https://tex.z-dn.net/?f=%20%5Cfrac%7Bd%7D%7Bdx%7D%20%28f%28x%29%2A%20g%28x%29%29%20%3D%20f%27%28x%29%20g%28x%29%20%2Bf%28x%29%20g%27%28x%29)
Where
and
And replacing we have this:
![f'(x)= \frac{1}{2\sqrt{x}} sin (x) + \sqrt{x}cos(x)](https://tex.z-dn.net/?f=%20f%27%28x%29%3D%20%5Cfrac%7B1%7D%7B2%5Csqrt%7Bx%7D%7D%20sin%20%28x%29%20%2B%20%5Csqrt%7Bx%7Dcos%28x%29)
the answer is 3
but a way to work these problems out is to use PEMDAS
p-parentheses
e-exponent
m-multiplication
d-division
a-addition
s-subtraction
they have to be donr in that order or the answer will come out different
Answer:
It is 1, 2, 3, or 4
Step-by-step explanation:
Answer:
Ratio is the proportion between two numbers.
Percent is the ratio times 100.
Rate is the change of a number per unit time.
Step-by-step explanation:
1.A rate refers to the frequency by which a certain event happens while a ratio refers to the relationship between the size, number, or degree of two or more things.
2.A rate is a comparison between two measurements of the same units while a ratio is the proportion of one thing to another.
3.A rate refers to the fixed quantity of two things while a ratio refers to the relationship between various things.
4.A ratio indicates the difference between things while a rate indicates the changes in their measurements or units.
5.A ratio is indicated by the quotient of one quantity divided by the other while a rate is indicated by the comparison between two things.
Hope it helped ! Have a nice day
The answer would be approximately 1.98