Derivative of sin(t)

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sin(t)

$$\sin{\left(t \right)}$$

d         
--(sin(t))
dt

$$\frac{d}{d t} \sin{\left(t \right)}$$

Transform

Detail solution

The derivative of sine is cosine:

$\frac{d}{d t} \sin{\left(t \right)} = \cos{\left(t \right)}$

The answer is:

$\cos{\left(t \right)}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

cos(t)

$$\cos{\left(t \right)}$$

Simplify

The second derivative [src]

-sin(t)

$$- \sin{\left(t \right)}$$

Simplify

The third derivative [src]

-cos(t)

$$- \cos{\left(t \right)}$$

Simplify

The graph