]]>
Compute the derivative
OpenMath
Native
m1Object
OpenMath
Native
m2Object
theRule
You have seen that the derivative of
OpenMath
OpenMath
m1Object
equals
Native
OpenMath
D[,x]
.
You have also seen that the derivative of
OpenMath
OpenMath
m2Object
is
Native
OpenMath
D[,x]
.
Can you compute the derivative of
Native
OpenMath
Times[, ]
now ?
The product rule is (g*h)'=g'*h+g*h'.
Native
Native
Simplify[( )-D[()*(),x]]
Native
Native
Length[Variables[Simplify[( )-D[()*(),x]]]]
That is not correct! If you see the error, try again!
That is not correct! If you see the error, try again!
You have seen that the derivative of
OpenMath
OpenMath
m1Object
equals
Native
OpenMath
D[,x]
.
You have also seen that the derivative of
OpenMath
OpenMath
m2Object
is
Native
OpenMath
D[,x]
.
Can you compute the derivative of
Native
OpenMath
ReplaceAll[, Rule[x, ]]
now?
The chain rule is (g(h(x)))'=h'(x)*g'(h(x)).
Native
Native
Simplify[( )-D[ReplaceAll[(),Rule[x,()]],x]]
Native
Native
Length[Variables[Simplify[( )-D[ReplaceAll[(),Rule[x,()]],x]]]]
That is not correct! If you see the error, try again!
That is not correct! If you see the error, try again!
You have seen that the derivative of
OpenMath
OpenMath
m1Object
equals
Native
OpenMath
D[,x]
.
You have also seen that the derivative of
OpenMath
OpenMath
m2Object
is
Native
OpenMath
D[,x]
.
Can you compute the derivative of
m3Object now?
The sum rule is (g+h)'(x)=g'(x)+h'(x).
Native
Native
Simplify[( )-D[()+(),x]]
Native
Native
Length[Variables[Simplify[( )-D[()+(),x]]]]
That is not correct! If you see the error, try again!
That is not correct! If you see the error, try again!
Error: I don't recognize the rule!