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Popular >

derivative of sqrt(sin(x-1))

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

Graph

Popular Examples

integral from 0 to 2 of x^23^x

\int_{0}^{2} x^{2} 3^{x} d x

derivative of (7cos(x-8)/(sin(x)))

\frac{d}{d x} (\frac{7 cos ( x ) - 8}{sin ( x )})

integral of 3csc(x)cot(x)

\int 3 csc (x) cot (x) d x

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\int \frac{x}{x ^{4} + 10} d x

partialfraction x/(x-1)partial fractions

\frac{x}{x - 1}

Frequently Asked Questions (FAQ)

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