What is the derivative of #f f(x)=5x#?

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Answer 1 · 2017-10-11T12:17:49

#5#

Not exactly sure of your notation here. I'm interpreting this as:

#f(x)=5x#

Derivative:

#d/dx 5x = 5#

This is obtained using the power rule:

#d/dx x^n= n*x^(n-1)#

From example:

#d/dx 5x^1 = (1)*5x^(1-1) = 5*x^0=5*1=5#