What is the derivative of f(x)=|2x-3| ?

The derivative of f(x)=|2x-3| is (2(2x-3))/(|2x-3|)

What is the first derivative of f(x)=|2x-3| ?

The first derivative of f(x)=|2x-3| is (2(2x-3))/(|2x-3|)

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derivative of

f (x) = ∣ 2 x - 3 ∣

\frac{2 ( 2 x - 3 )}{∣ 2 x - 3 ∣}

Solution steps

\frac{d}{d x} (∣ 2 x - 3 ∣)

Apply the chain rule:

\frac{2 x - 3}{∣ ( 2 x - 3 ) ∣} \frac{d}{d x} (2 x - 3)

= \frac{2 x - 3}{∣ ( 2 x - 3 ) ∣} \frac{d}{d x} (2 x - 3)

\frac{d}{d x} (2 x - 3) = 2

= \frac{2 x - 3}{∣ ( 2 x - 3 ) ∣} \cdot 2

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 ( 2 x - 3 )}{∣ 2 x - 3 ∣}

f (x) = - sin (x^{2}) \cdot 2 x

\int \frac{x ^{4} - 3 x ^{2} + x - x + 2}{x} d x

7 + 3 t

\int \frac{x ^{3}}{( 1 - 2 x ^{4} ) ^{5}} d x

x y^{^{''}} = y^{^{'}} + (y^{^{'}})^{3}

What is the derivative of f(x)=|2x-3| ?
The derivative of f(x)=|2x-3| is (2(2x-3))/(|2x-3|)
What is the first derivative of f(x)=|2x-3| ?
The first derivative of f(x)=|2x-3| is (2(2x-3))/(|2x-3|)