# Calc

sinx+x^2y=1 use implicit differentiation to find the second derivative. For the first derivative I got (cos(x)+2xy)/x^2. I have a feeling that is wrong, can someone please help and show steps on how to do this problem. (studying for a midterm).

1. 👍
2. 👎
3. 👁
1. cos x dx + x^2 dy + 2 x y dx = 0

x^2 dy = - (cos x +2 xy)dx

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

1. 👍
2. 👎

## Similar Questions

1. ### Calculus

The line that is normal to the curve x^2=2xy-3y^2=0 at(1,1) intersects the curve at what other point? Please help. Thanks in advance. We have x2=2xy - 3y2 = 0 Are there supposed to be 2 equal signs in this expression or is it x2 +

2. ### calculus

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 + 2xy − y2 + x = 17, (3, 5) (hyperbola)

3. ### inverse

If f(x)=cosx + 3 how do I find f inverse(1)? Thanks y = cos(x) + 3 the inverse of this is x = cos(y) + 3 solve for y and you have your inverse The cos function only has a range of [-1,1], so the range of f(x) is [2,4]. this means

4. ### re: Differential Calculus

Write the equation of lines tangent and normal to the following function at (0, π). To find derivative, use implicit differentiation. x^2cos^2y - siny = 0 Note: I forgot the ^2 for cos on the previous question. Sorry.

1.)Find dy/dx when y= Ln (sinh 2x) my answer >> 2coth 2x. 2.)Find dy/dx when sinh 3y=cos 2x A.-2 sin 2x B.-2 sin 2x / sinh 3y C.-2/3tan (2x/3y) D.-2sin2x / 3 cosh 3yz...>> my answer. 2).Find the derivative of y=cos(x^2) with

2. ### Calculus

R=M^2(c/2-m/3) dR/dM=CM-M^2 I found the derivative. Now how would I find the vale of M that maximize the derivative dR/dM? set it to zero, and solve for m. You get two solutions. Use the second derivative to see which one is the

3. ### math

For what intervals is g(x) = 1/x2 + 1 concave down? (Enter your answer using interval notation.) For this question I understand that we have to find where the second derivative is negative. So first I found the first derivative

4. ### math

Use logarithmic differentiation to find the derivative of the function. y = (cos 2x)x

1. ### calculus

Given y^4 -x^4=16 find and simplify d2y/dx2 using implicit differentiation. I got the first derivative which was x^3/y^3 and no im am stuck on using implicit differentiation for the second derivative part

2. ### calculus

Use implicit differentiation to find the derivative of the family of curves sin(xy)+x5+y5=c. dy/dx=? I got (-5x^4-ycos(xy))/(xcos(xy)+5y^4)). what am I doing wrong? Help please

3. ### Calculus

Find dy/dx by implicit differentiation: x^2-2xy+y^3 = c Thank you!

4. ### Mathematics

How do you find the coordinates of the stationary points to this implicit differentiation equation? x^2y = y^2 + 2x 2xy + x^2yy' = 2yy' + 2 y'(x^2y-2y) = 2-2xy y' = 2(1-xy) ------------- y(x^2-2)