What is the derivative of sqrt(3+5sin(x)) ?

The derivative of sqrt(3+5sin(x)) is (5cos(x))/(2sqrt(3+5sin(x)))

What is the first derivative of sqrt(3+5sin(x)) ?

The first derivative of sqrt(3+5sin(x)) is (5cos(x))/(2sqrt(3+5sin(x)))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

3 + 5 sin (x)

\frac{5 cos ( x )}{2 3 + 5 sin ( x )}

Solution steps

\frac{d}{d x} (3 + 5 sin (x))

Apply the chain rule:

\frac{1}{2 3 + 5 sin ( x )} \frac{d}{d x} (3 + 5 sin (x))

= \frac{1}{2 3 + 5 sin ( x )} \frac{d}{d x} (3 + 5 sin (x))

\frac{d}{d x} (3 + 5 sin (x)) = 5 cos (x)

= \frac{1}{2 3 + 5 sin ( x )} \cdot 5 cos (x)

Simplify

\frac{1}{2 3 + 5 sin ( x )} \cdot 5 cos (x) : \frac{5 cos ( x )}{2 3 + 5 sin ( x )}

= \frac{5 cos ( x )}{2 3 + 5 sin ( x )}

\int_{0}^{a} 7 x a^{2} - x^{2} d x

\frac{a x}{x ^{2} + a ^{2}}

\frac{d y}{d x} + 2 x y = - x y^{4}

\frac{d}{d x} (x^{2} e^{- x^{3}})

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

What is the derivative of sqrt(3+5sin(x)) ?
The derivative of sqrt(3+5sin(x)) is (5cos(x))/(2sqrt(3+5sin(x)))
What is the first derivative of sqrt(3+5sin(x)) ?
The first derivative of sqrt(3+5sin(x)) is (5cos(x))/(2sqrt(3+5sin(x)))