Differentiation: definition and basic derivative rules
Instructional Videos
Defining average and instantaneous rates of change at a point
Defining the derivative of a function and using derivative notation
Estimating derivatives of a function at a point
Connecting differentiability and continuity: determining when derivatives do and do not exist
Applying the power rule
Derivative rules: constant, sum, difference, and constant multiple: introduction
Derivative rules: constant, sum, difference, and constant multiple: connecting with the power rule
Derivatives of cos(x), sin(x), e^x, and ln(x)
The product rule
The quotient rule
Finding the derivatives of tangent, cotangent, secant, and/or cosecant functions
#362-365 Using the definition of a derivative
#366-375 Power rule (derivative short cut)
#387-397 Writing tangent line equations
#387-397 Writing tangent line equations with the def. of deriv
#413-416 Evaluating trig expressions with the unit circle
#413-418 Evaluating trig expressions
#413-418 Evaluating trig expressions
#413-418 Evaluating trig expressions
#417 Sum and difference formula
#419-427 Evaluating inverse trig expressions
#435 Testing for an odd or even function
#436-441 Solve a trig equation ex1
#436-441 Solve a trig equation ex2
#436-441 Solve a trig equation with factoring ex3
#436-441 Solve a trig equation with factoring ex4
#436-441 Solving a trig equation with two different trig functions ex5
#436-441 Solving a trig equation with two different trig functions ex6
#436-441 Solving a cosine equation ex7
#436-441 Solving a tan equation ex8
#367 Differentiate with expo
#374 Derivatives of radicals
T3.3 ex1 Product rule
Silly Quotient Rule song
T3.3 ex4 Quotient rule
T3.7 ex1,2,3 Chain rule
T3.7 ex4 Chain rule word problem
T3.7 ex5 Chain rule
T3.7 ex6 Chain rule
T3.7 #50,62,64 Chain rule
T3.7 #3 Chain rule table
T3.7 #21 Chain rule w/ e
T3.7 #36 Chain rule w/ cos
T3.7 #52 Chain rule more than once
T3.7 #57 Chain rule w/ quotient rule
#468-481 Trig derivative examples
#443-446 Differentiability implies continuity
#506 Implicit differentiation is the chain rule (Intro)
#512, 513, 517, 518 Implicit diff and tangent line
#512, 513, 514, 516, 517, 518 Implicit diff with product rule, tangent line
#512 Implicit with trig
#540-547 T3.11 ex2 Related rates
#540-547 T3.11 ex3 Related rates
WS #1 Rel. Rates extra practice
WS #4 Rel. Rates extra practice
#540 Related Rate Part 1
#540 Related Rate Part 2
#565-569,576 T3.9 ex2 Derivative of ln
#565-569,576 T3.9 ex3 Derivative of ln w/ funct inside
#560-563,575,588,589 T3.9 ex1 Derivative of exponential function
#570,571,578,604 T3.9 ex4 Derivative of log
#611-629 Derivative of inverse functions
#611-629 Derivative of inverse functions w/ formula
#611-629 Derivative of inverse functions w/ formula 2
#630-637 Derivative of inverse trig functions
#630-637 Derivative of inverse trig functions proof
Defining average and instantaneous rates of change at a point
Defining the derivative of a function and using derivative notation
Estimating derivatives of a function at a point
Connecting differentiability and continuity: determining when derivatives do and do not exist
Applying the power rule
Derivative rules: constant, sum, difference, and constant multiple: introduction
Derivative rules: constant, sum, difference, and constant multiple: connecting with the power rule
Derivatives of cos(x), sin(x), e^x, and ln(x)
The product rule
The quotient rule
Finding the derivatives of tangent, cotangent, secant, and/or cosecant functions
#362-365 Using the definition of a derivative
#366-375 Power rule (derivative short cut)
#387-397 Writing tangent line equations
#387-397 Writing tangent line equations with the def. of deriv
#413-416 Evaluating trig expressions with the unit circle
#413-418 Evaluating trig expressions
#413-418 Evaluating trig expressions
#413-418 Evaluating trig expressions
#417 Sum and difference formula
#419-427 Evaluating inverse trig expressions
#435 Testing for an odd or even function
#436-441 Solve a trig equation ex1
#436-441 Solve a trig equation ex2
#436-441 Solve a trig equation with factoring ex3
#436-441 Solve a trig equation with factoring ex4
#436-441 Solving a trig equation with two different trig functions ex5
#436-441 Solving a trig equation with two different trig functions ex6
#436-441 Solving a cosine equation ex7
#436-441 Solving a tan equation ex8
#367 Differentiate with expo
#374 Derivatives of radicals
T3.3 ex1 Product rule
Silly Quotient Rule song
T3.3 ex4 Quotient rule
T3.7 ex1,2,3 Chain rule
T3.7 ex4 Chain rule word problem
T3.7 ex5 Chain rule
T3.7 ex6 Chain rule
T3.7 #50,62,64 Chain rule
T3.7 #3 Chain rule table
T3.7 #21 Chain rule w/ e
T3.7 #36 Chain rule w/ cos
T3.7 #52 Chain rule more than once
T3.7 #57 Chain rule w/ quotient rule
#468-481 Trig derivative examples
#443-446 Differentiability implies continuity
#506 Implicit differentiation is the chain rule (Intro)
#512, 513, 517, 518 Implicit diff and tangent line
#512, 513, 514, 516, 517, 518 Implicit diff with product rule, tangent line
#512 Implicit with trig
#540-547 T3.11 ex2 Related rates
#540-547 T3.11 ex3 Related rates
WS #1 Rel. Rates extra practice
WS #4 Rel. Rates extra practice
#540 Related Rate Part 1
#540 Related Rate Part 2
#565-569,576 T3.9 ex2 Derivative of ln
#565-569,576 T3.9 ex3 Derivative of ln w/ funct inside
#560-563,575,588,589 T3.9 ex1 Derivative of exponential function
#570,571,578,604 T3.9 ex4 Derivative of log
#611-629 Derivative of inverse functions
#611-629 Derivative of inverse functions w/ formula
#611-629 Derivative of inverse functions w/ formula 2
#630-637 Derivative of inverse trig functions
#630-637 Derivative of inverse trig functions proof