Derivative of cos(x)\cos{\left(x \right)}

The calculator will find the derivative of cos(x)\cos{\left(x \right)}, with steps shown.

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

Leave empty for autodetection.
Leave empty, if you don't need the derivative at a specific point.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please contact us.

Your Input

Find ddx(cos(x))\frac{d}{dx} \left(\cos{\left(x \right)}\right).

Solution

The derivative of the cosine is ddx(cos(x))=sin(x)\frac{d}{dx} \left(\cos{\left(x \right)}\right) = - \sin{\left(x \right)}:

(ddx(cos(x)))=(sin(x)){\color{red}\left(\frac{d}{dx} \left(\cos{\left(x \right)}\right)\right)} = {\color{red}\left(- \sin{\left(x \right)}\right)}

Thus, ddx(cos(x))=sin(x)\frac{d}{dx} \left(\cos{\left(x \right)}\right) = - \sin{\left(x \right)}.

Answer

ddx(cos(x))=sin(x)\frac{d}{dx} \left(\cos{\left(x \right)}\right) = - \sin{\left(x \right)}A