Answer:
= 1/x^2
Step-by-step explanation:
Possible derivation:
d/dx(-16 - 1/x + y)
Differentiate the sum term by term and factor out constants:
= d/dx(-16) - d/dx(1/x) + d/dx(y)
The derivative of -16 is zero:
= -(d/dx(1/x)) + d/dx(y) + 0
Simplify the expression:
= -(d/dx(1/x)) + d/dx(y)
Use the power rule, d/dx(x^n) = n x^(n - 1), where n = -1.
d/dx(1/x) = d/dx(x^(-1)) = -x^(-2):
= d/dx(y) - -1/x^2
Simplify the expression:
= 1/x^2 + d/dx(y)
The derivative of y is zero:
= 1/x^2 + 0
Simplify the expression:
Answer: = 1/x^2
![{x}^{3} - 6 = 0 \\ {x}^{3} = 6 \\ x = \sqrt[3]{6}](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B3%7D%20%20%20-%206%20%3D%200%20%5C%5C%20%20%7Bx%7D%5E%7B3%7D%20%20%3D%206%20%5C%5C%20x%20%3D%20%20%5Csqrt%5B3%5D%7B6%7D%20)
