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Popular >

derivative of f(x)=2x-xln|x|

Solution

derivative of

f (x) = 2 x - x ln ∣ x ∣

Solution

- ln ∣ x ∣ + 1

Solution steps

\frac{d}{d x} (2 x - x ln ∣ x ∣)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (2 x) - \frac{d}{d x} (x ln ∣ x ∣)

\frac{d}{d x} (2 x) = 2

\frac{d}{d x} (x ln ∣ x ∣) = ln ∣ x ∣ + 1

= 2 - (ln ∣ x ∣ + 1)

Simplify

= - ln ∣ x ∣ + 1

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=2x-xln|x| ?
The derivative of f(x)=2x-xln|x| is -ln|x|+1
What is the first derivative of f(x)=2x-xln|x| ?
The first derivative of f(x)=2x-xln|x| is -ln|x|+1