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Differentiation of x^2 = x times x with a dot on the top?
I thought the derivative of x^2 = 2x, but why does my book say the differentiation of x^2 = x(x w/ dot on top)?
2 Answers
- 1 decade agoFavorite Answer
x(dot) means dx
the derivative of x^2 = derivative of x*x
Using chain rule ---> x*x(dot) + x(dot)*x = 2*x*x(dot) = 2xdx
should be 2x*x(dot)
- Anonymous1 decade ago
should it not be 2x(x dot)
x dot is the differentiation of x by whatever you are differentiating by so if
x = z^4
then differentiate with respect to z
x dot = 4z^3
differential of (x^2) = 2x(x dot) = 2z^4 4 z^3 = 8x^7
which is the derivative of x^2 = z^8
