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

The calculator will find the derivative of $$$\sin{\left(t \right)}$$$, with steps shown.

Related calculators: Logarithmic Differentiation Calculator, Implicit Differentiation Calculator with Steps

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

Solution

The derivative of the sine is $$$\frac{d}{dt} \left(\sin{\left(t \right)}\right) = \cos{\left(t \right)}$$$:

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

Thus, $$$\frac{d}{dt} \left(\sin{\left(t \right)}\right) = \cos{\left(t \right)}$$$.

Answer

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

Related Notes: Definition of Derivative , Derivatives of Elementary Functions , Table of Derivatives , Related Rates , Studying Derivative Graphically , Optimization Problems , Applications to Economics , Constant Multiple Rule , Sum and Difference Rules , Product Rule , Quotient Rule , Chain Rule , Derivative of Inverse Function