Differentiate the following functions with respect to
x
. Use * to show variables multiplying trigonometric functions such as
y^(**)sin(x)
to represent
ysin(x)
Use brackets to denote arguments of sinusoidal terms such as
cos(4x)
to represent
cos(4x)
as opposed to
cos4x
e^(2x)
is entered as
e^(2x)
not as
e^(2)x
which would give
e^(2)x
. a) Use the quotient rule to differentiate
y=(8x^(5)+5x)/(6x+5)
(dy)/(dx)=
b) Use the chain rule to differentiate
y=4cos(x^(3)-5)
(dy)/(dx)=
c) Select an appropriate rule to differentiate
y=(5x^(3)-7e^(-3x))sin(5x)
(dy)/(dx)=