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 $10 * d/dx(x) =10 * x^0$

$= 10 * 1$

$=10$

How do you find the derivative of 10x10x?