What is the derivative of f(x)=sin(sqrt(x^2+1)) ?

The derivative of f(x)=sin(sqrt(x^2+1)) is (xcos(sqrt(x^2+1)))/(sqrt(x^2+1))

What is the first derivative of f(x)=sin(sqrt(x^2+1)) ?

The first derivative of f(x)=sin(sqrt(x^2+1)) is (xcos(sqrt(x^2+1)))/(sqrt(x^2+1))

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derivative of

f (x) = sin (x^{2} + 1)

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

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

y y^{^{'}} = x^{2}

\int a^{x} d x

x \to 1 lim (x^{2} + 2 x)

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

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