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Popular >

derivative of sin(sqrt(1-x))

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

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derivative of (2x^5+3x^4-x^3+2/(x^2))

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\int_{0}^{3} 2 x - 1 d x

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Frequently Asked Questions (FAQ)

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