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Popular >

derivative of sqrt(5-cos(x))

Solution

\frac{d}{d x} (5 - cos (x))

Solution

\frac{sin ( x )}{2 5 - cos ( x )}

Solution steps

\frac{d}{d x} (5 - cos (x))

Apply the chain rule:

\frac{1}{2 5 - cos ( x )} \frac{d}{d x} (5 - cos (x))

= \frac{1}{2 5 - cos ( x )} \frac{d}{d x} (5 - cos (x))

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

= \frac{1}{2 5 - cos ( x )} sin (x)

Simplify

\frac{1}{2 5 - cos ( x )} sin (x) : \frac{sin ( x )}{2 5 - cos ( x )}

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

Graph

Popular Examples

(\partial)/(\partial x)(2(x-1)^2-3y-5)

\frac{\partial}{\partial x} (2 (x - 1)^{2} - 3 y - 5)

y^{^{'}} = x^{3} (1 - y)

y^'=0.001y(1800-y)

y^{^{'}} = 0.001 y (1800 - y)

integral of x*e^{-x^2}

\int x \cdot e^{- x^{2}} d x

(dy)/(dx)=e^{x-y},y(0)=2

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

Frequently Asked Questions (FAQ)

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