What is the derivative of cos(sqrt(x^2+3)) ?

The derivative of cos(sqrt(x^2+3)) is -(xsin(sqrt(x^2+3)))/(sqrt(x^2+3))

What is the first derivative of cos(sqrt(x^2+3)) ?

The first derivative of cos(sqrt(x^2+3)) is -(xsin(sqrt(x^2+3)))/(sqrt(x^2+3))

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\frac{d}{d x} (cos (x^{2} + 3))

- \frac{x sin ( x ^{2} + 3 )}{x ^{2} + 3}

Solution steps

\frac{d}{d x} (cos (x^{2} + 3))

Apply the chain rule:

- sin (x^{2} + 3) \frac{d}{d x} (x^{2} + 3)

= - sin (x^{2} + 3) \frac{d}{d x} (x^{2} + 3)

\frac{d}{d x} (x^{2} + 3) = \frac{x}{x ^{2} + 3}

= - sin (x^{2} + 3) \frac{x}{x ^{2} + 3}

Multiply fractions:

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

= - \frac{x sin ( x ^{2} + 3 )}{x ^{2} + 3}

x \to 5 lim (- 12 x + 7)

y = \frac{3}{x + 1}, (2, 1)

\frac{x y d y}{d x} = 2 x^{2} + 2 y^{2}

\int 5 e^{x + 5} d x

2 t \cdot \frac{d y}{d t} + y = t

What is the derivative of cos(sqrt(x^2+3)) ?
The derivative of cos(sqrt(x^2+3)) is -(xsin(sqrt(x^2+3)))/(sqrt(x^2+3))
What is the first derivative of cos(sqrt(x^2+3)) ?
The first derivative of cos(sqrt(x^2+3)) is -(xsin(sqrt(x^2+3)))/(sqrt(x^2+3))