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499 resources with the concept derivatives

15:18
Lesson Planet

Value that Makes Two Tangent Lines Parallel

For Students 11th - Higher Ed
Perform parallel calculations to find equal slopes. Using the formula for the equation of the tangent line to a point, the resource sets out to find two points with a difference of one that have parallel tangent lines.The 25th video in a...
9:50
Lesson Planet

Product Rule for Derivatives

For Students 11th - Higher Ed
Find the derivative of a complex function involving two factors. The video presents a function involving the product of two complex binomials. Using the product rule, the presenter highlights the two factors and their representations...
7:59
Lesson Planet

Equation of the Tangent Line

For Students 11th - Higher Ed
Given a function and a point on the function, the video shows how to determine the equation of the tangent line at that point. Using the function equation, the presenter determines the y-coordinate for the point. The 24th video in a...
6:53
Lesson Planet

How to Use Logarithmic Differentiation to Find the Derivative

For Students 11th - Higher Ed
Use the natural logarithm to simplify differentiation. The 22nd resource in a series of 31 provides an example of a problem that would be best differentiated by using logarithms. The presenter takes the natural logarithm of both sides....
5:54
Lesson Planet

Derivatives of Logarithms

For Students 11th - Higher Ed
It is only natural to take the derivative of a logarithmic function with a complex argument. The 21st installment in a series of 31 provides an example of taking the derivative of a natural logarithmic function. First simplifying the...
6:47
Lesson Planet

Finding the Derivative of a Function with e^x

For Students 11th - Higher Ed
Go beyond the basics with exponential functions. Using a function that contains an exponential function, the video shows the steps involved in finding its derivative. The 20th installment in a series of 31 uses an example with the...
3:10
Lesson Planet

Derivatives of inverse hyperbolic functions

For Students 11th - Higher Ed
Apply knowledge of derivatives and inverse hyperbolic functions. Using the formula for the derivative of an inverse hyperbolic function, the resource finds the derivative of a more complex function. The complex function is comprised of a...
4:23
Lesson Planet

Derivatives of Inverse Trig Functions - Arccot

For Students 11th - Higher Ed
Get two functions for the cost of one. The short video is the 16th in a series of 31 video on calculus topics. The presenter works through finding the derivative of a function involving two arccot functions. One of the functions requires...
5:05
Lesson Planet

Derivatives of Inverse Trig Functions - Arcsin

For Students 11th - Higher Ed
Put another link in the chain. With the aid of the chain rule, the presentation shows how to take the derivative of an arcsin function with a binomial argument. The 15th video in a 31-part series goes on to work through the...
19:07
Lesson Planet

Derivatives of Trig Functions

For Students 11th - Higher Ed
What are the most important things about trigonometric derivatives? The 13th video in a series of 31 highlights three important aspects of trigonometric derivatives, the first being the derivatives of sine and cosine. The second is the...
5:38
Lesson Planet

Chain Rule for Derivatives, with Trig Functions

For Students 11th - Higher Ed
Break the chain in finding derivatives of trigonometric functions. The short video provides a demonstration of finding the derivative of a trigonometric function where the argument is a function. The 12th video in a series of 31 focuses...
9:10
Lesson Planet

Chain Rule for Derivatives, with Product Rule

For Students 11th - Higher Ed
Unchain the product rule. The 10th video in a series of 31 provides an example of the chain rule in conjunction with the product rule. Using a binomial and a trinomial raised to powers as factors, the presenter works through the process...
6:26
Lesson Planet

Chain Rule Combined with Power Rule

For Students 11th - Higher Ed
How does the chain rule work with the power rule? Using a radical function, the video shows how the chain rule works along with the power rule. The resource continues to simplify the derivative and places it in a familiar form. The...
8:48
Lesson Planet

Reciprocal Rule

For Students 11th - Higher Ed
Alter the reciprocal rule to work with more functions. The eighth segment in a series of 31 introduces the reciprocal rule for finding a derivative. Using the quotient rule, the video derives the reciprocal rule and creates a rule that...
7:22
Lesson Planet

Product Rule - 3+ functions

For Students 11th - Higher Ed
Will the product rule work for more than two functions? The sixth video in a series of 31 provides a function that is the product of three other functions. Making connections to the product rule with two functions, the presenter shows...
12:14
Lesson Planet

Definition of the Derivative to Find the Derivative

For Students 11th - Higher Ed
Serve up the definition of the derivative two ways. Video three in a series of 31 begins with making the distinction between the difference quotient and the definition of the derivative. The presentation shows two ways the definition is...
Lesson Planet

Antiderivative: Piecing it Together

For Students 11th - Higher Ed
Build a function backwards. Given a graph of the derivative of a function, pupils piece together a graph of the original function, the antiderivative. Learners use their graphs and the graphs of the derivatives to answer questions about...
Lesson Planet

Absolute Extrema and Optimization: Building the Biggest Box

For Students 11th - Higher Ed
Optimally, you want the largest box. Given a square piece of box material, pupils determine the size of congruent squares to cut out of the corners to create a box with the greatest volume. Learners determine the equation of the volume...
Lesson Planet

Absolute Versus Local Extrema

For Students 11th - Higher Ed
Get the class to take an extreme look at functions. The interactive presents a function on a closed interval with a movable tangent line. Using the given function, pupils determine the extrema, critical points, and points of inflection. 
Lesson Planet

Derivatives with Mean Value Theorem and Rolle's Theorem: Maxima and Minima

For Students 11th - Higher Ed
Rolle with the mean values and derivatives. Scholars complete the statements of Rolle's Theorem and the Mean Value Theorem. Using the interactive to illustrate scenarios, pupils respond to questions concerning the theorems in terms of...
Lesson Planet

Higher Order Derivatives—Acceleration and Jerk

For Students 11th - Higher Ed
Accelerate your class through finding the second derivative. Using a bank of equations, pupils determine the equations for distance, velocity, and acceleration and their associated function notations. With the equations, learners answer...
Lesson Planet

Chain Rule

For Students 11th - Higher Ed
Keep it on the chains. Pupils work through the steps in the chain rule using the interactive as a guide. Learners identify the two composed functions and their associated derivatives from a set of choices. They continue on to build the...
Lesson Planet

Constant, Identity, and Power Rules: Power Rule

For Students 11th - Higher Ed
Learn to gain power in finding derivatives. The resource introduces the power rule. Using the sliders in the interactive, pupils create polynomial functions and find their derivatives. Given the derivative of a polynomial, learners...
Lesson Planet

Derivatives of Trigonometric Functions: Derivative of sin(x)

For Students 11th - Higher Ed
Graphically find the derivative of sin(x). Using the interactive, pupils graph the slope of the tangent line to the sine function. Class members use the resulting graph to determine the derivative of the sine function. They verify their...