What is the derivative of cos(sqrt(x+1)) ?

The derivative of cos(sqrt(x+1)) is -(sin(sqrt(x+1)))/(2sqrt(x+1))

What is the first derivative of cos(sqrt(x+1)) ?

The first derivative of cos(sqrt(x+1)) is -(sin(sqrt(x+1)))/(2sqrt(x+1))

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

- \frac{sin ( x + 1 )}{2 x + 1}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

- sin (x + 1) \frac{1}{2 x + 1} : - \frac{sin ( x + 1 )}{2 x + 1}

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

t^{2} \frac{d y}{d t} = - y

\frac{d}{d x} (6 x y + 5 x^{2})

roo t s co tan (x)

f (x) = e^{2 x} + 2 e^{2 x} x

\int (8 x + 7) d x

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