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Find dy/dx for a & b a) sin x+cos y=1 b) cos x^2 = xe^y c)Let...

Find dy/dx for a & b

a) sin x+cos y=1

b) cos x^2 = xe^y

c)Let f(x) = 5 /2 x^2 − e^x . Find the value of x for which the second derivative f'' (x) equals zero.

d) For what value of the constant c is the function f continuous on (−∞,∞)?

f(x) = {cx^2 + 2x, x < 2 ,

  2x + 4, x ≥ 2}

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