The differentiable functions xxx and yyy are related by the following equation: \sin(x)+\cos(y)=\sqrt{2}sin(x)+cos( y)=
2

sine, left parenthesis, x, right parenthesis, plus, cosine, left parenthesis, y, right parenthesis, equals, square root of, 2, end square root
Also, \dfrac{dx}{dt}=5
dt
dx

=5start fraction, d, x, divided by, d, t, end fraction, equals, 5.
Find \dfrac{dy}{dt}
dt
dy

start fraction, d, y, divided by, d, t, end fraction when y=\dfrac{\pi}{4}y=
4
π

y, equals, start fraction, pi, divided by, 4, end fraction and 0 2
π

0, is less than, x, is less than, start fraction, pi, divided by, 2, end fraction.