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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. =)
<span>A)2x^2+3 is a transformation of f(x)=x^2: Stretch the graph vertically by a factor of 2 and then shift the entire resulting graph up by 3 units. The graph will still look like a parabola that opens up.
</span>B)-2x^2-3 is a transformation of f(x)=x^2: Stretch the graph vertically by a factor of 2, reflect the resulting graph in the x-axis, and then shift the entire resulting graph down by 3 units. The graph will still look like a parabola that opens down.
<span>
Answers to C and D are very similar, except that we compress the graph of x^2 v ertically by a factor of (1/2).
None of these A, B, C, D is wrong.
</span>
Answer:
B
Step-by-step explanation:
Given
f = c / λ ( multiply both sides by λ )
fλ = c
Answer:
-147
If your question is 3(5x -9) then you answer is 15x-27
Step-by-step explanation: