What is the derivative of 2sin(sqrt(t)) ?

The derivative of 2sin(sqrt(t)) is (cos(sqrt(t)))/(sqrt(t))

What is the first derivative of 2sin(sqrt(t)) ?

The first derivative of 2sin(sqrt(t)) is (cos(sqrt(t)))/(sqrt(t))

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derivative of

2 sin (t)

\frac{cos ( t )}{t}

Solution steps

\frac{d}{d t} (2 sin (t))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d t} (sin (t))

Apply the chain rule:

cos (t) \frac{d}{d t} (t)

= cos (t) \frac{d}{d t} (t)

\frac{d}{d t} (t) = \frac{1}{2 t}

= 2 cos (t) \frac{1}{2 t}

Simplify

2 cos (t) \frac{1}{2 t} : \frac{cos ( t )}{t}

= \frac{cos ( t )}{t}

\int arctan (2 x) d x

\frac{\partial}{\partial x} (10 (11 x - 3 y + 12)^{5})

\frac{d}{d x} (x - \frac{3}{2})

\int csc^{2} (y) \frac{1}{1 + cot ( y )} d y

What is the derivative of 2sin(sqrt(t)) ?
The derivative of 2sin(sqrt(t)) is (cos(sqrt(t)))/(sqrt(t))
What is the first derivative of 2sin(sqrt(t)) ?
The first derivative of 2sin(sqrt(t)) is (cos(sqrt(t)))/(sqrt(t))