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

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Answer 1 · 2017-10-11T12:17:49

$5$ $5$

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

$f (x) = 5 x$ $f(x)=5x$

Derivative:

$\frac{d}{d x} 5 x = 5$ $d/dx 5x = 5$

This is obtained using the power rule:

$\frac{d}{d x} x^{n} = n \cdot x^{n - 1}$ $d/dx x^n= n*x^(n-1)$

From example:

$\frac{d}{d x} 5 x^{1} = (1) \cdot 5 x^{1 - 1} = 5 \cdot x^{0} = 5 \cdot 1 = 5$ $d/dx 5x^1 = (1)*5x^(1-1) = 5*x^0=5*1=5$

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