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Popular >

derivative of sin(sqrt(1-x^2))

Solution

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

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

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slope of (1,1),(6,-2)slope

(1, 1), (6, - 2)

\int x d t

derivative of-(33e^{1/x})/(x^2)derivative of

- \frac{33 e ^{\frac{1}{x}}}{x ^{2}}

sum from n=0 to infinity of (-3/4)^{n-1}

n = 0 \sum \infty (- \frac{3}{4})^{n - 1}

integral of 2θcos(θ)

\int 2 θ cos (θ) d θ

Frequently Asked Questions (FAQ)

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