Hey.. I'd appreciate it if you could guys could verify my answers for the following questions..(adsbygoogle = window.adsbygoogle || []).push({});

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= -3/4

B) 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

dunno how to proceed

dunno how to do this..

thanks much

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# Finding the Derivative

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