Yes. In fact, that is basically the definition of a derivative. It is the instantaneous rate of change of a function.
For example, picture the graph of the following function:

The slope is constantly changing at every x-value, so to find the slope at x=a, we find the derivative of the function.

Once we have the derivative, simply plug in a for x to find the slope of the line tangent to f(x) at x=a.
For example, at x=5:

The slope of f(x) at x=5 is 10.
Answer: 34.92
Step-by-step explanation:
Sin x = ³/₁₀
Sin x = 0.30
Since we are determining the value of x,
x = sin⁻1 (0.30), this is called the inverse of sin or arc of sine, this could be calculated using your calculator by pressing the second function or the shift on the calculator and then press the sin⁻1
Therefore
x = 17.46
2x = 17 46 x 2
= 34. 915
≅ 34. 92
Answer:

Step-by-step explanation:
→ Divide the gallon by the number of glasses

Answer:
Dividing logarithms is not the same as dividing the arguments of a logarithm.
Step-by-step explanation:
1) If we divide two logarithms then we'll find a value. This is not the same as dividing two arguments of the same base logarithms.
For example:

Then

2) Completing the table below to show it clearly:
T_(-8,6): (x,y) -> (x-8, y+6)