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How to get the largest column value from each row using dplyr [duplicate]

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This question already has an answer here:

Given the following data :

df <- data.frame(
  a = c(1,2,3,5),
  b = c(7,9,52,4),
  c = c(53, 11,22,1),
  d = c("something","string","another", "here")
)

Which looks as :

  a  b  c         d
1 1  7 53 something
2 2  9 11    string
3 3 52 22   another
4 5  4  1      here

I would like to create column "max" using dplyr, where max is the column of the largest row value.

So for the above I would have

  a  b  c         d  max
1 1  7 53 something   c
2 2  9 11    string   c
3 3 52 22   another   b
8 5  4  1      here   a

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