Question
Function
t′(n)=3tn
Evaluate
t(n)=3t×2nn
Simplify
More Steps

Evaluate
3t×2nn
Multiply the terms
23tnn
Multiply the terms
23tn×n
Multiply the terms
23tn2
t(n)=23tn2
Take the derivative of both sides
t′(n)=dnd(23tn2)
Use differentiation rules
t′(n)=21×dnd(3tn2)
Calculate the derivative
More Steps

Evaluate
dnd(3tn2)
Use differentiation rule dxd(cf(x))=c×dxd(f(x))
3t×dnd(n2)
Use dxdxn=nxn−1 to find derivative
3t×2n
Multiply the terms
6tn
t′(n)=21×6tn
Solution
t′(n)=3tn
Show Solution
