Given the function f(x, y) = y + e**y, where x = In(s) and y = sin(s2t), find the partial %3D af af and at derivatives

Q: dy b) Find the equation of a curve if gradient of the curve at point (x, y) is given by- = 2x3 + x…

A: We have to solve the problem

Q: Find the derivative, dy/dx: y = x² In x3 ý =- 2 1-4 ln x x³ In? x 3. ý = -2 In x – 2x | y = --(- 3…

A:

Q: Find fyyzz if f(x, y, 2) = cos(3y + az). Then evaluate fygazz at point (, 0, 4). COS

A: *Use chain rule

Q: In the given equation, find dy/dx by implicit differentiation. O (3x²+tan-ly)(1+y²) (1+y)e-x O…

A: Basic identities of differentiation is used.

Q: Find the gradient function (dy/dx) of y=e-2x tanx. Show all calculations.

A:

Q: d'y dx² + 6 dy dx +9y = 9cos3x

A: The objective is to find the derivative of the following:Differentiation formulas:

Q: d?y .if x = 212 – 3 & y = 3 – t* . dx² sing parametric differentiation, find

A: on solving this we get

Q: compute the derivative : y = cos(cos(cos(θ)))

A: the given function is: y=coscoscosθ we have to find the derivative of the given function.

Q: Find the directional derivative of J(, 9) + 3y at the point (2, the direction 57 radians.

A:

Q: If y = (3x)4*, then dy dx (Be sure to express your answer in terms of x) =

A:

Q: Use implicit differentiation to find 20 27 Ans./ of the following curve at the point (2, 3). dx2 2x³…

A:

Q: Find the derivative of y = 3x² − 2x + dy = 6x 2 dx dy dx dy dx Oy = = 3x - 1 = 3x - 2 6x - 2

A: Given query is to find the derivative of the function.