Z = arctan (XY), and y = e ^ x, find DZ / dy
y=e^x
x=lny
z=arctan(ylny)
dz/dy
= 1/(1+y²ln²y) * (ylny)'
= ( lny+1 )/(1+y²ln²y)
RELATED INFORMATIONS
- 1. How is addition, subtraction, multiplication and division equal to 24 Such as the title
- 2. It is known that the functions Y1 = kx-2 and y2 = - 3x + B are relative to point a Given that the functions Y1 = kx-2 and y2 = - 3x + B intersect at point a (2, - 1) (1) Find the value of K and B and draw the image of two functions in the same coordinate system (2) Using the image to find out: when x takes what value, there are: ① Y1 The first question is the second and the third
- 3. 3. 4, 5, 5, 24
- 4. Find the area of the figure enclosed by parabola y2 = 8x (Y > 0) and straight line x + y-6 = 0 and y = 0
- 5. It is known that the surface area of a straight triangular prism whose base is an equilateral triangle is a square with side length of 3 Only know the side length of the triangle, then how to calculate the area of the triangle?
- 6. In the plane rectangular coordinate system xoy, point a is a point on the bisector of the first quadrant angle, the distance from point a to the x-axis is 2, a moving point on the positive half axis of the Y-axis of point B, the vertical line of line AB passing through point a intersects the positive half axis of X-axis at point C (1) Finding the coordinates of point a (2) If the coordinates of point B (0,1), find the length of line BC
- 7. Complete square formula (2) Note: the number after brackets is the power (2X+Y-3)2 (A+3B-2)(A-3B+2) (X+Y+1)(1-X-Y) [X+(Y+1)][X-(Y+1)] (3X+Y-4)(3X+Y+4)-(3X+Y+4)(3X-Y-4)
- 8. 1 mm is equal to? Micron; 1 micron is equal to?;
- 9. In a hurry Given x ^ 2Y ^ 2-10xy + x ^ 2 + y ^ 2 + 16 = 0, find the value of x ^ 2 + y ^ 2
- 10. A = 25, B = - 3, try to determine the number of a to the power of 2008 + B to the power of 2008 Practical questions: It is known that the distance between the two places is 213 km. Xiao Wang and Xiao Zhang start from the two places and travel in opposite directions. Xiao Zhang's speed is more than twice that of Xiao Wang's speed by 0.5 km / h. suppose Xiao Wang's speed is v km / h. After 6 hours, how many km are Xiao Wang and Xiao Zhang apart? An engineering team loaded cement poles from the warehouse and transported them to the side of the road which is just 1000 meters away from the warehouse. It is required to plant one pole 50 meters ahead along the side of the road. It is known that the engineering vehicle can transport up to 4 poles, and it is required to complete the task of transporting 21 poles and return to the warehouse?
- 11. In Cartesian coordinates, the inclination angle of the line x + 3y-3 = 0 is () A. π6B. π3C. 5π6D. 2π3
- 12. The perimeter of a square is 12 cm. Put two such squares together into a rectangle. How many cm is the perimeter of the rectangle?
- 13. Given the function f (x) = 2sinxcosx-2cos ^ 2x, find the minimum positive period of the function. When x belongs to o, the value range of F (x) is 0,
- 14. A rectangular piece of paper, which is 10 cm long and 8 cm wide, is cut into the largest circle with its surface
- 15. How to calculate the indefinite integral of D / DX ln (x ^ 2 + 1), where a is 1b and E?
- 16. The decimal point of 9.20 is removed, and the integer is () times of the original, which is () more than the original
- 17. It is known that no matter what value x takes, the algebraic formula a (X-2) - 2x + 5 is the same, and the value of a is obtained. Because no matter what value x takes, the value of the algebraic formula a (X-2) - 2x + 5 is the same, so we might as well take x = 0 and get a (X-2) - 2x + 5. That is to say, no matter what value x takes, the value of the algebraic formula a (X-2) - 2x + 5 is equal to - 2A + 5, The values of the algebraic formula ax + 2 / bx-5 are the same, so what kind of equivalence relationship should a and B satisfy. (2) no matter what value x takes, the equation x ^ 3 + MX + 2 = (x + 2) (x ^ 2 + ax + b) always holds, and the value of M can be obtained
- 18. 1: F (5) = 1, f (1) = 0 for f (x) 2: F (5) = 0, f (1) = 5
- 19. How to do this math problem Solving the equation of first degree with one variable One sixth of his life is childhood; He lived one twelfth of his life and grew a beard; He got married and spent another seventh of his life; Five years later, I have a son; But the son lived only half of his father's age; After his son died, he lived for another four years and died 1: His life span 2: The age of a father 3: Age at the time of his son's death
- 20. Tie a cylindrical cake box with plastic rope (as shown in the figure below). The knot is just the center of the bottom. The length of the knot is 25cm (1) How many centimeters does it take to tie this box? (2) How many square centimeters is the area of this part at least?