$\dfrac{d}{dx}{\, (\sin{x})} \,=\, \cos{x}$
The derivative or differentiation of sin function with respect to a variable is equal to cosine. So, it is read as the derivative of $\sin{x}$ with respect to $x$ is equal to $\cos{x}$.
If $x$ is a variable, then the sine function is written as $\sin{x}$ in mathematics. The differentiation of the sin function with respect to $x$ is written mathematically as follows.
$\dfrac{d}{dx}{\, (\sin{x})}$
The derivative of $\sin{x}$ with respect to $x$ can also be expressed as $\dfrac{d{\,(\sin{x})}}{dx}$. It is also simply written as ${(\sin{x})}’$ mathematically in calculus.
The derivative of the sin function can be written in terms of any variable.
$(1) \,\,\,$ $\dfrac{d}{dm}{\, (\sin{m})} \,=\, \cos{m}$
$(2) \,\,\,$ $\dfrac{d}{dy}{\, (\sin{y})} \,=\, \cos{y}$
Learn how to derive the derivative of the sine function by first principle in differential calculus.
A best free mathematics education website for students, teachers and researchers.
Learn each topic of the mathematics easily with understandable proofs and visual animation graphics.
Learn how to solve the maths problems in different methods with understandable steps.
Copyright © 2012 - 2022 Math Doubts, All Rights Reserved