What is the derivative of sin^2(sqrt(x)) ?

The derivative of sin^2(sqrt(x)) is (cos(sqrt(x))sin(sqrt(x)))/(sqrt(x))

What is the first derivative of sin^2(sqrt(x)) ?

The first derivative of sin^2(sqrt(x)) is (cos(sqrt(x))sin(sqrt(x)))/(sqrt(x))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

\frac{cos ( x ) sin ( x )}{x}

Solution steps

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

Apply the chain rule:

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

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

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

= 2 sin (x) \frac{cos ( x )}{2 x}

Simplify

2 sin (x) \frac{cos ( x )}{2 x} : \frac{cos ( x ) sin ( x )}{x}

= \frac{cos ( x ) sin ( x )}{x}

y^{^{''}} - 4 y^{^{'}} + 3 y = e^{- x}

(5 x + 1)^{2}

f (x) = - 3 cos (x), at x = - \frac{π}{4}

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

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