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Popular >

derivative of sin(|x|)

Solution

\frac{d}{d x} (sin (∣ x ∣))

Solution

\frac{x cos ( ∣ x ∣ )}{∣ x ∣}

Solution steps

\frac{d}{d x} (sin (∣ x ∣))

Apply the chain rule:

cos (∣ x ∣) \frac{d}{d x} (∣ x ∣)

= cos (∣ x ∣) \frac{d}{d x} (∣ x ∣)

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

= cos (∣ x ∣) \frac{x}{∣ x ∣}

Multiply fractions:

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

= \frac{x cos ( ∣ x ∣ )}{∣ x ∣}

Graph

Popular Examples

integral of ((x^4-2x^3+1))/(x^2)

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

derivative of cos^4(x/4)

\frac{d}{d x} (cos^{4} (\frac{x}{4}))

integral of (14x+1)sqrt(7x^2+x)

\int (14 x + 1) 7 x^{2} + x d x

x^2(dy)/(dx)+x(x+2)y=e^x

x^{2} \frac{d y}{d x} + x (x + 2) y = e^{x}

integral of 7/((x-3)(x+4))

\int \frac{7}{( x - 3 ) ( x + 4 )} d x

Frequently Asked Questions (FAQ)

What is the derivative of sin(|x|) ?
The derivative of sin(|x|) is (xcos(|x|))/(|x|)
What is the first derivative of sin(|x|) ?
The first derivative of sin(|x|) is (xcos(|x|))/(|x|)