How do you find the derivative of #10x#?

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Answer 1 · 2016-12-23T13:41:25

#10#

the derivative of a function #f(x)=ax# is #a#.

this could be explained using the power rule and constants:

power rule:

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

constant rule:

#d/dx (cf) = c * d/dx(f)#, where #c# is the constant.

if #c# is substituted for #10#, then #d/dx (10x) = 10 * d/dx(x)#

#x# can also be written as #x^1#.

#d/dx (x^1)=1x^(1-1)#, or #x^0#.

#x^0 = 1#, so #10 * d/dx(x) =10 * x^0#

#= 10 * 1#

#=10#