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3 years ago

If sin(xy)=x, then find dy/dx

2 answers:

5 0

We are given the expression sin (xy) = x and is asked for the dy/dx. we can use implicit differentiation to differentiate the function. sin (xy) = xcos (xy) *(x dy + y dx) = dxdx (cos (xy) * y - 1 ) = -x* cos (xy) dydy/dx = -(cos (xy) * y - 1 )/x* cos (xy)dy/dx = -1/x + 1/x cos (xy)

Andrews [41]3 years ago

3 0

Let u = xy
now dy/dx(sin(u))
= cos(u)
=cos(dy/dx(xy))
= cos(xy)y

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Svet_ta [14]

Answer:

Check the explanation

Step-by-step explanation:

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3 years ago

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3 years ago

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laiz [17]

Answer: 5

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3 years ago

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andrew11 [14]

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3 years ago

Graph the given relation or equation and find the domain and range. Then determine whether the relation or equation is a functio

seraphim [82]

Answer:

pic has correct graph

domain and range in the highlighted pic are right

the relation is a function

Step-by-step explanation:

y=2x+5 has y-intercept 5 and slope 2

You have the correct pic for that.

The domain is the values of x that relation takes on, it takes on all real numbers so you have that part right.

The range is the values of y that relation takes on, it takes on all real numbers so you have that part right.

The relation is a function because it passes the vertical line test. (I can' see your is it a function part or not)

3 0

3 years ago