power over root 10 videos
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Derivatives of Power Functions
Calculus The Derivative
How to determine the derivative of a power function.
power functions derivative derivative formula -
Chain Rule: The General Power Rule
Calculus Techniques of Differentiation
How to differentiate a composite function when the outside function is a power function.
chain rule composite functions power functions power rule differentiation -
Economics: Cost & Revenue
Calculus Applications of the Derivative
How to compute the average rate of change of the amount of a drug in a patient's bloodstream over an interval of time, and how to interpret whether the amount is increasing or decreasing over time.
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Average Value of a Function
Calculus The Definite Integral
How to find the average value of a function over an interval [a,b].
average value antidifferentiation limits of integration functions area under a curve -
Average Rate of Change
Calculus The Derivative
How to compute the average rate of change of a population over an interval of time.
average rate of change population time change in population change in time population models rate of increase -
Substitutions Involving e^x or ln(x)
Calculus Antiderivatives and Differential Equations
How to use the method of substitution when the antiderivatives involve e^x or ln[x].
substitution antidifferentiation exponential functions logarithmic functions power functions -
The Product Rule
Calculus Techniques of Differentiation
How to differentiate a product of two functions.
differentiation derivative formula power functions the product rule of derivatives -
Instantaneous Velocity
Calculus The Derivative
How to estimate the instantaneous velocity of an object at t=2 by computing average velocities over shorter and shorter intervals of time.
average velocity instantaneous velocity change in position change in time limits -
Instantaneous Rate of Change
Calculus The Derivative
How to estimate the instantaneous rate liquid is pouring out of a container at t=4 by computing average rates of change over shorter and shorter intervals of time.
average rate of change instantaneous rate of change change in quantity change in time limits -
Continuous Functions
Calculus Limits and Continuity
How to determine whether a function f(x) is continuous everywhere on its domain.
limits definition of continuous function domain of a function power functions exponential functions logarithmic functions
