Implicit Differentiation Worksheet With Solutions. Click here to return to the list of problems. Find y y by implicit differentiation.
This quiz worksheet will help you test your understanding of it and let you put your skills to the test with practice problems. This involves differentiating both sides of the equation with respect to x and then solving the resulting equation for y. 1 x2y xy2 6 2 y2 x 1 x 1 3 x tany 4 x siny xy 5 x2 xy 5 6 y x 9 4 7 y 3x 8 y 2x 5 1 2 9 for x3 y 18xy show that dy dx 6y x2 y2 6x 10 for x2 y2 13 find the slope of the tangent line at the point 2 3.
Using the chain rule we find that.
Instead we can use the method of implicit differentiation. View more for the review jeopardy after clicking on the above link click on file and select download from the dropdown menu so that you can view it in powerpoint. 1 x2y xy2 6 2 y2 x 1 x 1 3 x tany 4 x siny xy 5 x2 xy 5 6 y x 9 4 7 y 3x 8 y 2x 5 1 2 9 for x3 y 18xy show that dy dx 6y x2 y2 6x 10 for x2 y2 13 find the slope of the tangent line at the point 2 3. The first 18 are finding expressions for the first derivative in terms of x and y and then i have included 6 or 7 on the applications of differentiation using the implicit method.
