다음 함수 /의 2계 편도함수를 모두 구하여라 (1) fx, y, 2) sin (xy) cos (vz)

Q: What is the gradient of the function f(x) = -x² %3D A -x? E -2x C 2x H -1 1

A:

Q: The gradient of the function 2x1 + x2 - 3 evaluated in x = (0 0 0) is: OA. Vf=(1 2 3)T OB. Vf=(0 0…

A: Solution:

Q: Draw the graph of the function f :R → R defined by f (x) = x3, x∈R.

A: We will make a table for f(x)=x3 x -1 0 1 y -1 0 1

Q: Determine all the 1-linear functions δ: M1×1(F)→F.

A: Given mapping is,

Q: Find the absolute maximum and absolute minimum of the function f(r) =r² - 8z+7 over [1, 8].

A:

Q: Prove that the linear function f(x) = ax+b is continuous.

A: To prove that the given linear function is continuous.

Q: Determine whether the given set of functions is linearly independent on the interval (-00, 00⁰).…

A:

Q: Identify an inner function (call it g) of y = (5x + 4)3.Let u = g(x) and express the outer function…

A: y=(5x+4)3

Q: Give an example of a differentiable function ƒ whose first derivative is zero at some point c even…

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Q: For the function f graphed below, sketch a possible graph of its derivative f'. y 3.0 2.5 2.0 1.5…

A: The derivative of a function means the magnitude of the slope of the tangent to the curve. The graph…

Q: Let u and v be the linear functions defined asu(x)=2x+3,v(u)=3x-2.Find the compositions u*v and v*u.…

A: For uov, we do u(v(x)), and for v o u, we do v(u(x)) .

Q: Determine if the following sets of functions are linearly dependent or linearly independent.

A:

Q: 33 f(x) = sin 2x + Ve2x + 2x – In e, x # 1 1-x

A: derivative

Q: Let x-f(p.a) be the demand function for shoes and y=g(p.q) be the demand function for socks, where p…

A: The given functions are  x=900-0.006p2-0.004q2y=400-0.006p2-0.003q2 find the derivative of x with…

Q: Consider the function f(x) shown in the diagram. Draw the secant line to f(x) over the interval [0,…

A: The graph of the function f(x) is shown as,

Q: Determined whether the given function is linearly independent or dependent on (-00, c0) f.(x) = x,…

A:

Q: If f(t) = (t2 + 1)(2t - 3et), determine the first derivative of f(t). a. (t2 + 1)(2 - 3et) + (4t2 -…

A: Given function for derivative f( t ) = ( t2 + 1 )( 2t - 3et )Formula used ddx( u.v ) = udvdx +…