Saturday

December 20, 2014

December 20, 2014

Posted by **Chelsea** on Thursday, October 28, 2010 at 11:25pm.

find dy/dx by implicit differentiation

0 + 1 = cos(xy^2). (x)(2y)dy/dx + (y^2)(1)

1/((x)(2y)dy/dx) = cos(xy^2) + (y^2)

dy/dx = cos (xy^2) + (y^2)....

Can I just divide out the (x)(2y) and leave the dy/dx?

- calc -
**Reiny**, Thursday, October 28, 2010 at 11:31pmyou needed brackets like this

0 + 1 = cos(xy^2)*( (x)(2y)dy/dx + (y^2)(1) )

since you need to get at the dy/dx and since it is inside the bracket, you must expand

1 = 2xy(cos(xy^2))dy/dx + y^2(cos(xy^2)

1 - y^2(cos(xy^2) = 2xy(cos(xy^2))dy/dx

dy/dx = (1 - y^2(cos(xy^2))/(2xy(cos(xy^2)))

**Answer this Question**

**Related Questions**

Calc. - Differentiate. y= (cos x)^x u= cos x du= -sin x dx ln y = ln(cos x)^x ln...

TRIG! - Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6...

Mathematics - Trigonometric Identities - Let y represent theta Prove: 1 + 1/tan^...

tigonometry - expres the following as sums and differences of sines or cosines ...

trig - Reduce the following to the sine or cosine of one angle: (i) sin145*cos75...

Math - Calculus - The identity below is significant because it relates 3 ...

algebra - Can someone please help me do this problem? That would be great! ...

calculus - Differentiate. y= (cos x)^x u= cos x du= -sin x dx ln y = ln(cos x)^x...

pre-cal - Simplify the given expression........? (2sin2x)(cos6x) sin 2x and cos ...

Trig - Given: cos u = 3/5; 0 < u < pi/2 cos v = 5/13; 3pi/2 < v < ...