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Popular >

derivative of |3x-4|

Solution

\frac{d}{d x} (∣ 3 x - 4 ∣)

Solution

\frac{3 ( 3 x - 4 )}{∣ 3 x - 4 ∣}

Solution steps

\frac{d}{d x} (∣ 3 x - 4 ∣)

Apply the chain rule:

\frac{3 x - 4}{∣ ( 3 x - 4 ) ∣} \frac{d}{d x} (3 x - 4)

= \frac{3 x - 4}{∣ ( 3 x - 4 ) ∣} \frac{d}{d x} (3 x - 4)

\frac{d}{d x} (3 x - 4) = 3

= \frac{3 x - 4}{∣ ( 3 x - 4 ) ∣} \cdot 3

Multiply fractions:

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

= \frac{3 ( 3 x - 4 )}{∣ 3 x - 4 ∣}

Graph

Popular Examples

integral of (x^2)/(sqrt(10-3x^3))

\int \frac{x ^{2}}{10 - 3 x ^{3}} d x

integral of (90x^2sin(2+6x^3))

\int (90 x^{2} sin (2 + 6 x^{3})) d x

derivative of sqrt((3x+7/(5+2x)))

\frac{d}{d x} (\frac{3 x + 7}{5 + 2 x})

derivative of (ln(x+1)^2-e^{x^2})

\frac{d}{d x} ((ln (x + 1))^{2} - e^{x^{2}})

integral of |4y+1|

\int ∣ 4 y + 1 ∣ d y

Frequently Asked Questions (FAQ)

What is the derivative of |3x-4| ?
The derivative of |3x-4| is (3(3x-4))/(|3x-4|)
What is the first derivative of |3x-4| ?
The first derivative of |3x-4| is (3(3x-4))/(|3x-4|)