Answer:
![\text{D)} \quad y'=-10\csc{x}\cot{x}+\sec^2{x}](https://tex.z-dn.net/?f=%5Ctext%7BD%29%7D%20%5Cquad%20y%27%3D-10%5Ccsc%7Bx%7D%5Ccot%7Bx%7D%2B%5Csec%5E2%7Bx%7D)
Step-by-step explanation:
![y=\dfrac{10}{\sin{x}}+\dfrac{1}{\cot{x}}=10\sin{(x)}^{-1}+\sin{(x)}\cos{(x)}^{-1}\\\\y'=-10\sin{(x)}^{-2}\cos{(x)}+\cos{(x)}\cos{(x)}^{-1}+\sin{(x)}^2\cos{{x}}^{-2}\\\\=-10\dfrac{1}{\sin{x}}\cdot\dfrac{\cos{x}}{\sin{x}}+1+\left(\dfrac{\sin{x}}{\cos{x}}\right)^2\\\\=-10\csc{x}\cot{x}+\sec^2{x}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B10%7D%7B%5Csin%7Bx%7D%7D%2B%5Cdfrac%7B1%7D%7B%5Ccot%7Bx%7D%7D%3D10%5Csin%7B%28x%29%7D%5E%7B-1%7D%2B%5Csin%7B%28x%29%7D%5Ccos%7B%28x%29%7D%5E%7B-1%7D%5C%5C%5C%5Cy%27%3D-10%5Csin%7B%28x%29%7D%5E%7B-2%7D%5Ccos%7B%28x%29%7D%2B%5Ccos%7B%28x%29%7D%5Ccos%7B%28x%29%7D%5E%7B-1%7D%2B%5Csin%7B%28x%29%7D%5E2%5Ccos%7B%7Bx%7D%7D%5E%7B-2%7D%5C%5C%5C%5C%3D-10%5Cdfrac%7B1%7D%7B%5Csin%7Bx%7D%7D%5Ccdot%5Cdfrac%7B%5Ccos%7Bx%7D%7D%7B%5Csin%7Bx%7D%7D%2B1%2B%5Cleft%28%5Cdfrac%7B%5Csin%7Bx%7D%7D%7B%5Ccos%7Bx%7D%7D%5Cright%29%5E2%5C%5C%5C%5C%3D-10%5Ccsc%7Bx%7D%5Ccot%7Bx%7D%2B%5Csec%5E2%7Bx%7D)
_____
The product rule for derivatives applies.
y = fg ⇒ y' = f'g +fg'
Answer:
Step-by-step explanation:
3x + 7 is both a variable expression and an algebraic expression. Since it is not an equation, we can't "solve for x."
Answer:
![an=2n+4](https://tex.z-dn.net/?f=an%3D2n%2B4)
Step-by-step explanation:
Answer:
to find the answer we have add all the numbers given then divide by number of items
Step-by-step explanation:
26+28+29+30+37= 150
as there are 5 numbers we divide 150/5=30
there for the arithmetic mean for the other numbers is 30
hope you understood