What is the derivative of #10x#?

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Answer 1 · 2015-06-22T10:23:19

The derivative of 10x with respect to x is 10.

Let

#y=10x#

Differentiate #y# with respect to #x#.

#(dy)/(dx)=d/(dx)(10x)#

#(dy)/(dx)=xd/(dx)(10)+10d/(dx)(x)#[since#d/(dx)(uv)=ud/(dx)v+vd/(dx)u]#

#(dy)/(dx)=x(0)+10(1)#[#d/(dx)(const)=0;d/(dx)(x)=1]#

#(dy)/(dx)=10#

The derivative of 10x with respect to x is 10.