- #1
jai6638
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Hey.. I'd appreciate it if you could guys could verify my answers for the following questions..
Find dy/dx:
1) y=arcsin(2x)
y'= (2)/sqrt(1-4x^2)
2) y=arctan(x^2)
y'= 2x/(1+x^4)
3) 3sqrt(x)=sqrt(y)
dy/dx=( 3.(x)^(-.5) / (y)^(-.5))
4) xy+y=x
dy/dx = (-y)/(x+y)
5) e^cosy=x^3 arctan y
(e^cosy) (-siny. dy/dx ) = 3x^2 + (1/1+y^2)dy/dx
6) Find slope of the following when x equals the indicated value.
A) xy+x+y=8, x=2
dy/dx= (-y-1)/(x+Y)
dy/dx= -3/4B) sin^2y + cos^2x=4, x=(pi/2)
9) 2x^2+y^2=4
Dy/dx= -2x/y
10) ln(xy)=4
ln ( x. dy/dx + y ) = 0
1/ x.dy/dx + y = 0
don't know how to proceed
dunno how to do this..
thanks much
Find dy/dx:
1) y=arcsin(2x)
y'= (2)/sqrt(1-4x^2)
2) y=arctan(x^2)
y'= 2x/(1+x^4)
3) 3sqrt(x)=sqrt(y)
dy/dx=( 3.(x)^(-.5) / (y)^(-.5))
4) xy+y=x
dy/dx = (-y)/(x+y)
5) e^cosy=x^3 arctan y
(e^cosy) (-siny. dy/dx ) = 3x^2 + (1/1+y^2)dy/dx
6) Find slope of the following when x equals the indicated value.
A) xy+x+y=8, x=2
dy/dx= (-y-1)/(x+Y)
dy/dx= -3/4B) sin^2y + cos^2x=4, x=(pi/2)
9) 2x^2+y^2=4
Dy/dx= -2x/y
10) ln(xy)=4
ln ( x. dy/dx + y ) = 0
1/ x.dy/dx + y = 0
don't know how to proceed
dunno how to do this..
thanks much
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