1. (15) Suppose snap, crackle and pop are real-valued, differentiable functions with domain R and Dz[snap(x)] = 2²crackle (x), Dz[crackle(x)] = pop°(z), find dy Work need not be shown for dx this problem. 3snap (x') y = crackle (5x³)

Q: dy 4) Find by using implicit differentiation: y + xy3 + e3 = 1 What is the equation of the tangent…

A:

Q: If y = f(x), then f'(x), y', [Select] dy da and f(x) all represent the of fat x.

A: If , then to determine the meaning of .

Q: Q4) Find y" + 2y 5y at x a where y sinx(1/cscx)

A:

Q: 2 (y – k) y' = 4a Find the Derivative - d/dy Since 4a is constant with respect to y, the derivative…

A: (1). The given expression is:2y-ky'=4a

Q: TLP iadade mnts & smt Findf F'(t) =sec(t) (seclE)+ tan (ED), -st < f- FCt) = -<ts f (--7 2.

A: We simplify f'(t) by expanding  To find f(t) we integrate f'(t) C=integrating constant

Q: 3. Find the dy/dx of * y? + 2x – 3y = 0

A: The given function,         y2+2x-3y=0

Q: 11. g 13. F(r) = 3 r

A:

Q: Q4 B) Find y' for the functions cos(xy) + 3*+cos ly+ In(xy) + log-7 dy

A:

Q: 1. Find the derivative of the following function. 4. f(w) = 3D 6w* +3w +2w f'(w) = %3D

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: 4. Determine all possible functions f(x) that satisfy the given conditions. (a) f'(x) = V¤ – 3 x2…

A:

Q: 5. (1-x) (dy/dx) + xy = xy". Ans. cy=(1-y)√(1-x)

A: Given equation is 1-x2dydx+xy=xy2. To find: solution of the given equation.

Q: 5. What is the derivative of the given function below? * x² + y² = xy dy dy dx dx Option, dy dx = =…

A:

Q: 4. Find . d?y of the functions x = 1+ cost and y = 1– sin t. dx2

A: Differentiating given parametric equationswith respect to t,x=1+costdxdt=-sint…

Q: Find whether the function F-(* - y')i + (v² – 3x)j + (=* - xy)k is irrotational.

A: A vector field F is called irrotational if curl (F) = 0.

Q: 52. (a) Given 3y² – xy+x 3. By using implicit differentiation, dy 8 (i) find the value of at x=1. dx…

A:

Q: The extremum for the variational problem:- SLy + 2yy'-16y"Jdx; y (0)-0; v =1 occurs for the curve…

A:

Q: ) (a) Let f(x) = 6 + f'(x) and f'(4). f'(x) = ƒ'(4) = - x + C 6 Find

A: As per the guidelines  we are supposed to answer only one question at a time. If you want answers of…

Q: 4(a) A curve is defined by x=5cos(t) and y=3sin(2t) on the t-interval [0,2pi]. Find dy/dx and find…

A: Given,          A curve is defined by x=5cost and y=3sin2t on the t-interval 0,2π.