Q#6F
Math021
Quiz Ch 3.11, 4.1
/50
#1 #2 #3 #4
5 5 8 12
#5 #6
10 10
Name
date
#1] Write the definition of derivative of f(x).
f ’(x) =
#2] Write the definition of the continuity of f(x) at x = T.
#3] Derive the standard formula for Dx( sech(x) ). Do NOT use the definition of sinh and cosh.
#4] Use your calculator to estimate these values to 4 places after the decimal point.
sinh(1.25)
tanh(3.75)
csch(2.3)
sech(-2.4)
#5] What are the domain and range of these functions?
f(x) = sinh(x)
f(x) = cosh(x)
f(x) = tanh(x)
Domain =
Domain =
Domain =
Range
Range
Range
=
=
=
#6] Find all the critical points of this function over (-∞, +∞). Don’t waste your time graphing. It won’t help. Do
all the algebra! Factor and simplify.
f(x) = √ · 3
Q#6K
Math021
Quiz Ch 3.11, 4.1
/50
#1 #2 #3 #4
5 5 8 12
#5 #6
10 10
Name
date
#1] Write the definition of the continuity of f(x) at x = K.
#2] Write the definition of derivative of f(x).
f ’(x) =
#3] Derive the standard formula for Dx( csch(x) ). Do NOT use the definition of sinh and cosh.
#4] Use your calculator to estimate these values to 4 places after the decimal point.
sinh(1.35)
tanh(2.15)
csch(2.6)
sech(-1.4)
#5] What are the domain and range of these functions?
f(x) = cosh(x)
f(x) = tanh(x)
f(x) = sinh(x)
Domain =
Domain =
Domain =
Range
Range
Range
=
=
=
#6] Find all the critical points of this function over (-∞, +∞). Don’t waste your time graphing. It won’t help. Do
all the algebra! Factor and simplify.
f(x) = √ · 3
Q#6F
Math021
Quiz Ch 3.11, 4.1
/50
#1 #2 #3 #4
5 5 8 12
#5 #6
10 10
Name
date
#1] Write the definition of derivative of f(x).
f ’(x) =
#2] Write the definition of the continuity of f(x) at x = T.
#3] Derive the standard formula for Dx( sech(x) ). Do NOT use the definition of sinh and cosh.
#4] Use your calculator to estimate these values to 4 places after the decimal point.
sinh(1.25)
tanh(3.75)
csch(2.3)
sech(-2.4)
#5] What are the domain and range of these functions?
f(x) = sinh(x)
f(x) = cosh(x)
f(x) = tanh(x)
Domain =
Domain =
Domain =
Range
Range
Range
=
=
=
#6] Find all the critical points of this function over (-∞, +∞). Don’t waste your time graphing. It won’t help. Do
all the algebra! Factor and simplify.
f(x) = √ · 3
Q#6K
Math021
Quiz Ch 3.11, 4.1
/50
#1 #2 #3 #4
5 5 8 12
#5 #6
10 10
Name
date
#1] Write the definition of the continuity of f(x) at x = K.
#2] Write the definition of derivative of f(x).
f ’(x) =
#3] Derive the standard formula for Dx( csch(x) ). Do NOT use the definition of sinh and cosh.
#4] Use your calculator to estimate these values to 4 places after the decimal point.
sinh(1.35)
tanh(2.15)
csch(2.6)
sech(-1.4)
#5] What are the domain and range of these functions?
f(x) = cosh(x)
f(x) = tanh(x)
f(x) = sinh(x)
Domain =
Domain =
Domain =
Range
Range
Range
=
=
=
#6] Find all the critical points of this function over (-∞, +∞). Don’t waste your time graphing. It won’t help. Do
all the algebra! Factor and simplify.
f(x) = √ · 3