WebD Does not exist Solution: We have, y = sinx−cosxsinx+cosx {(sinx −cosx) dxd (sinx+ cosx)} ⇒ dxdy = (sinx−cosx)2−(sinx+cosx)dxd (sinx−cosx) = (sinx−cosx)2(sinx−cosx)(cosx−sinx)−(sinx+cosx)(cosx+sinx) = (sinx−cosx)2−sin2x−cos2x+2sinxcosx−sin2x−cos2x−2sinxcosx = (sinx−cosx)2−2 ⇒ … WebJacobian matrix and determinant. In vector calculus, the Jacobian matrix ( / dʒəˈkoʊbiən /, [1] [2] [3] / dʒɪ -, jɪ -/) of a vector-valued function of several variables is the matrix of all its first-order partial derivatives. When this matrix is square, that is, when the function takes the same number of variables as input as the ...
If y= sin -1√1-x, then (dy/dx) is equal to - Tardigrade
WebIf y (x) = cot^ (-1) (√ (1+sinx)+√ (1-sinx))/ (√ (1+sinx)-√ (1-sinx)),x ∈ (π/2,π), then dy/dx at x = 5π/6 is : - Sarthaks eConnect Largest Online Education Community If y (x) = cot^ (-1) (√ (1+sinx)+√ (1-sinx))/ (√ (1+sinx)-√ (1-sinx)),x ∈ (π/2,π), then dy/dx at x = 5π/6 is : ← Prev Question Next Question → 0 votes 1.5k views Web10. Ship A is traveling due west toward Lighthouse Rock at a speed of 15 km/hr. Ship B is traveling due north away from Lighthouse Rock at a speed of 10 km/hr. Let x be the distance between Ship A and Lighthouse Rock at time t, and let y be the distance between Ship B and Lighthouse Rock at time t as shown in the figure below. (a) Find the distance in … editing a text field python
If y = √(sinx + y) then dy/dx equals to - Toppr
Web23 nov. 2024 · If y + (sinx)^tanx, then dy/dx is equal to (A) (sinx)^tanx . (1 + sec^2x . logsinx) asked Dec 19, 2024 in Limit, continuity and differentiability by Vikky01 ( 42.0k points) WebMulitply both sides by d x d ( x y) = y x y − 1 d x + x y ln ( x) d y, d ( y x) = y x ln ( y) d x + x y x − 1 d y As you can see, the derivative is of x y and y x is the derivative with respect to x on the left side + the derivative with repsect to y on the right side. So, d y d x ( x y ln ( x) − x y x − 1) = − ( y x ln ( y) + y x y − 1) WebFind dy/dx x=sin(y) Step 1. Differentiate both sides of the equation. Step 2. Differentiate using the Power Rule which states that is where . Step 3. Differentiate the right side of … editing a theme shopsite