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# (a) Find the differential $dy$ and (b) evaluate $dy$ for the given values of $x$ and $dx.$$y = \cos \pi x, x = \frac {1}{3}, dx = -0.02$

## (a) $d y=-\pi \sin (\pi x) d x$(b) 0.01$\sqrt{3} \pi$

Derivatives

Differentiation

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

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### Video Transcript

we know that after Texas coastline next there for of products is negative. Sign X Therefore of G of x is pi acts this part over here then g prime of X is pi therefore are y prime would be negative pi sign pi x Okay, Part B plug and negative pi sign high over three times negative 0.2 It's in the last 20.1 square root of three times pi.

#### Topics

Derivatives

Differentiation

##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp