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Popular >

derivative of sqrt(1-cos(x))

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Popular Examples

integral of sin(9t)sin(4t)

\int sin (9 t) sin (4 t) d t

derivative of 2xtan(2x+2)

\frac{d}{d x} (2 x tan (2 x + 2))

sqrt(y)y^'+y^{3/2}=1

y y^{^{'}} + y^{\frac{3}{2}} = 1

(\partial)/(\partial x)(ln(x^7-y^6))

\frac{\partial}{\partial x} (ln (x^{7} - y^{6}))

integral of 5tan^2(x)sec(x)

\int 5 tan^{2} (x) sec (x) d x

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(1-cos(x)) ?
The derivative of sqrt(1-cos(x)) is (sin(x))/(2sqrt(1-cos(x)))
What is the first derivative of sqrt(1-cos(x)) ?
The first derivative of sqrt(1-cos(x)) is (sin(x))/(2sqrt(1-cos(x)))