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Popular >

derivative of sqrt(2sin(x))

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

\frac{1}{2 2 sin ( x )} \frac{d}{d x} (2 sin (x))

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

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

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

Simplify

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

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

Popular Examples

integral of xcsc^2(4x)

\int x csc^{2} (4 x) d x

integral from-1 to 1 of 0.09375(4-x^2)

\int_{- 1}^{1} 0.09375 (4 - x^{2}) d x

integral of e^{-17x}

\int e^{- 17 x} d x

integral of x/(16-x^8)

\int \frac{x}{16 - x ^{8}} d x

(dy)/(dx)=(2x+y)/(3+3y^2-x),y(0)=0

\frac{d y}{d x} = \frac{2 x + y}{3 + 3 y ^{2} - x}, y (0) = 0

Frequently Asked Questions (FAQ)

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