Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Find f′(x) for the function:
(a) f(x)= 3w^9-7w/5w
(b) f(x)= 3x-5/x-5
. According to the question, we have to find for the function .
The derivative of a function of a variable x is a measure of the rate at which the value y of the function changes with respect to the change of the variable x.
To differentiate the function, we have to arrange the variable term on one side, then we can differentiate with respect to the appropriate variable.
Here the derivative of the function can be find by using the quotient rule of differentiation which is given as follows,
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