Mathematics, 03.11.2020 16:30 wxvvyyyy
Prove that d dx (sinh−1(x)) = 1 1 + x2 . Solution 1 Let y = sinh−1(x). Then sinh(y) = x. If we differentiate this equation implicitly with respect to x, we get dy dx = 1. Since cosh2(y) − sinh2(y) = 1 and cosh(y) ≥ 0, we have cosh(y) = 1 + sinh2(y) , so dy dx = 1 cosh(y) = 1 1 + sinh2(y) = . Solution 2 From the equation sinh−1(x) = ln x + x2 + 1 , we have d dx (sinh−1(x)) = d dx ln x + x2 + 1 = 1 x + x2 + 1 d dx x + x2 + 1 = 1 x + x2+ 1 1 + x x2 + 1 = x2 + 1 + x x + x2 + 1 x2 + 1 = 1 x2 + 1 g
Answers: 2
Mathematics, 21.06.2019 17:00
Consider the function represented by the equation 1/2 j + 1/4 k equals 3 which shows the equation written in function notation with j as the independent variable
Answers: 1
Mathematics, 21.06.2019 18:10
Drag the tiles to the boxes to form correct pairs. not all tiles will be used. match each set of vertices with the type of quadrilateral they form.
Answers: 1
Mathematics, 21.06.2019 19:30
Consider a cube that has sides of length l. now consider putting the largest sphere you can inside this cube without any point on the sphere lying outside of the cube. the volume ratio -volume of the sphere/ volume of the cube is 1. 5.2 × 10−1 2. 3.8 × 10−1 3. 1.9 4. 2.5 × 10−1 5. 3.8
Answers: 2
Prove that d dx (sinh−1(x)) = 1 1 + x2 . Solution 1 Let y = sinh−1(x). Then sinh(y) = x. If we diffe...
History, 12.07.2019 20:00
Mathematics, 12.07.2019 20:00
Chemistry, 12.07.2019 20:00
Biology, 12.07.2019 20:00
Chemistry, 12.07.2019 20:00
Mathematics, 12.07.2019 20:00
Biology, 12.07.2019 20:00
Chemistry, 12.07.2019 20:00
Social Studies, 12.07.2019 20:00
History, 12.07.2019 20:00
Mathematics, 12.07.2019 20:00
Mathematics, 12.07.2019 20:00
History, 12.07.2019 20:00
History, 12.07.2019 20:00