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Popular >

derivative of f(x)=|4+7x|

Solution

derivative of

f (x) = ∣ 4 + 7 x ∣

Solution

\frac{7 ( 4 + 7 x )}{∣ 4 + 7 x ∣}

Solution steps

\frac{d}{d x} (∣ 4 + 7 x ∣)

Apply the chain rule:

\frac{4 + 7 x}{∣ ( 4 + 7 x ) ∣} \frac{d}{d x} (4 + 7 x)

= \frac{4 + 7 x}{∣ ( 4 + 7 x ) ∣} \frac{d}{d x} (4 + 7 x)

\frac{d}{d x} (4 + 7 x) = 7

= \frac{4 + 7 x}{∣ ( 4 + 7 x ) ∣} \cdot 7

Multiply fractions:

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

= \frac{7 ( 4 + 7 x )}{∣ 4 + 7 x ∣}

Popular Examples

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\int (x^{2} + y^{2})^{\frac{1}{2}} d x

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\int - x e^{- x} d x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=|4+7x| ?
The derivative of f(x)=|4+7x| is (7(4+7x))/(|4+7x|)
What is the first derivative of f(x)=|4+7x| ?
The first derivative of f(x)=|4+7x| is (7(4+7x))/(|4+7x|)