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Popular >

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

Solution

derivative of

sin (1 + x^{2})

Solution

\frac{1}{2 sin ( 1 + x ^{2} )} cos (1 + x^{2}) \cdot 2 x

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (sin (1 + x^{2})) = cos (1 + x^{2}) \cdot 2 x

= \frac{1}{2 sin ( 1 + x ^{2} )} cos (1 + x^{2}) \cdot 2 x

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\frac{d}{d x} (sec^{3} (4 x))

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\int cos (4 t) - sin (4 t) d t

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\int \frac{x ^{2}}{2 ( x + 1 )} d x

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\frac{d}{d x} (e^{9 x^{2}})

Frequently Asked Questions (FAQ)

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