Derivative Problem

VeraMaues

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Jan 14, 2022
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Considering a differentiable function f(x) and the curve given by

f(x) cos(y) + f(y) cos(x) = 2

a) Determine an expression for y', the derivative of y with respect to x, at a point (x,y) on the curve;

b) Calculate y 'em (0, pi) knowing that f(0) = 1, f' (0) = 2, f(pi) = 3 and f '(π) = 4.
 
Considering a differentiable function f(x) and the curve given by

f(x) cos(y) + f(y) cos(x) = 2

a) Determine an expression for y', the derivative of y with respect to x, at a point (x,y) on the curve;

b) Calculate y 'em (0, pi) knowing that f(0) = 1, f' (0) = 2, f(pi) = 3 and f '(π) = 4.
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