- #1
cabellos
- 77
- 1
I should know this, but i just wanted to check...differentiating ln(3y-2z) with respect to z...does this = -1/2z ?
cabellos said:ok so is it -2/3y + z
cabellos said:I did apply it...this is how i calculated that result:
d/dz In(3y-2z)
y=In u therefore dy/du = 1/u
u=3y-2z therefore du/dz = -2
dy/du x du/dz = -2/(3y-2z)
where am i going wrong?
Differentiation check is a process used in mathematics to find the rate of change of a function at a specific point. It involves calculating the derivative of the function and evaluating it at the given point.
Differentiation check is important because it allows us to analyze the behavior of a function and make predictions about its values. It is also a fundamental tool in calculus and is used to solve various real-world problems involving rates of change.
To perform a differentiation check, you first need to find the derivative of the function. This can be done by using differentiation rules or formulas. Once you have the derivative, you can then plug in the given point to find the rate of change or slope at that point.
Differentiation and integration are two fundamental operations in calculus. Differentiation involves finding the rate of change of a function, while integration involves finding the area under a curve. In other words, differentiation is used to find the slope of a curve, while integration is used to find the area between the curve and the x-axis.
Differentiation check has many applications in various fields such as physics, engineering, and economics. Some common applications include finding maximum and minimum values of a function, analyzing motion and acceleration, and optimizing production and profit functions in business.