Find the differential dy. y = cos(𝜋x) dy = -𝜋sin(𝜋x)dx (b) Evaluate dy for the given values of x and dx. (Round your answer to three decimal places.) x = 1/3, dx = 0.05.
Added by Sarah M.
Step 1
The function is \( y = \cos(\pi x) \). The differential \( dy \) is given by the derivative of \( y \) with respect to \( x \), multiplied by \( dx \). The derivative of \( y = \cos(\pi x) \) with respect to \( x \) is \( -\pi \sin(\pi x) \). Show more…
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