en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of sin(sqrt(x^2))

Solution

derivative of

sin (x^{2})

Solution

\frac{x cos ( x ^{2} )}{∣ x ∣}

Solution steps

\frac{d}{d x} (sin (x^{2}))

Apply the chain rule:

cos (x^{2}) \frac{d}{d x} (x^{2})

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

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

= cos (x^{2}) \frac{x}{∣ x ∣}

Multiply fractions:

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

= \frac{x cos ( x ^{2} )}{∣ x ∣}

Popular Examples

derivative of f(s)=8^{sqrt(2s-1)}derivative of

f (s) = 8^{2 s - 1}

limit as x approaches infinity of-5/x

x \to \infty lim (- \frac{5}{x})

derivative of (x-7/(sqrt(x)-\sqrt{7)})

\frac{d}{d x} (\frac{x - 7}{x - 7})

derivative of {g}(h,x(h(x)))

\frac{d}{d x} (g (h, x) (h (x)))

integral from 0 to 2 of xe^{4x}

\int_{0}^{2} x e^{4 x} d x

Frequently Asked Questions (FAQ)

What is the derivative of sin(sqrt(x^2)) ?
The derivative of sin(sqrt(x^2)) is (xcos(sqrt(x^2)))/(|x|)
What is the first derivative of sin(sqrt(x^2)) ?
The first derivative of sin(sqrt(x^2)) is (xcos(sqrt(x^2)))/(|x|)