A = 9 (Sorry I can't do the other ones, I haven't learned those ones yet) Hope this helps!! :P
Tan (pi/3) = Sin (pi/3) / Cos (pi/3) or y/x
y= (squareroot of 3)/2
x= 1/2
sqrt 3/2 × 2/1 (the reciprocal) = sqrt 3
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You have
y as an implicit function of
x:
sin(xy) – x = 0Use implicit differentiation. As
y is a function of
x, then you must apply the chain rule there:
d d—— [ sin(xy) – x ] = —— (0) dx dx d d d—— [ sin(xy) ] – —— (x) = —— (0) dx dx dx d—— [ sin(xy) ] – 1 = 0 dx d—— [ sin(xy) ] = 1 dx dcos(xy) · —— (xy) = 1 dxNow, apply the product rule for that last derivative:
dyIsolate
—— :
dx dyx cos(xy) · —— = 1 – y cos(xy) dxAssuming
x cos(xy) ≠ 0,
dy 1 – y cos(xy)—— = ———————— <——— this is the answer.
dx x cos (xy)I hope this helps. =)
Answer:
You would multiply both sides by 6.
Step-by-step explanation:
Since they both have 6 already they would just cancel out.