Find the derivative of A(x,y, z) = (X³y +y²z+e* )(sin(x)+ cos(y) – z + 10) %3D

Q: E Find the derivatives of y with respect to x: a) y = xex - ex b) y = e(4x+;) c) y = e*(sin x + cos…

A: we have to find the derivative of following function with respect to y (a) given y=xex-ex…

Q: z + 2.5 -3 = Z

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Q: Find g'(x) if g(x) = t² cos 6t dt %3D 2

A: We can apply fundamental theorem of calculus here.  The second fundamental theorem of calculus…

Q: 2. Let F(x) = x s sin (t2) dt. Find F'(x). (a) sin (x²) dx (b) sin (x²) (c) sin (x²) + C (d) 2x sin…

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Q: Find the derivatives of y with respect to x: a) y = xe* - e* b)' y = e(4x+) e(tx+) X. c) y = e*(sin…

A: Since you have posted multipart question and we can answer three subparts. So, answered first three…

Q: What is the derivative of y = sin (x³ sin (x³ – 3x)?

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Q: Find the derivative of f(x) = log, (x° + x – 1). %3D 2 + x - 1 f (2) = %3D (3z* + 1) (In 2) (3z +1)…

A: Given:     fx=log2x3+x-1

Q: Let f (x) = 2x4 + 2x3 + 2x2 + 5x + 2. Fill in the missing coefficients for the derivative of f: x* +…

A: Given that :-  f is function of x f(x) = 2x⁴ + 2x³ + 2x² + 5x + 2 * We have to find  f '(x)   For…

Q: * :The implicit derivative (dy/dx) of (f(x, y) = y² — x² — sin (xy)) 2x+xcos(xy) 2y-ycos(xy)…

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Q: 1) Find the linearization L(x) of f(x) at x = a. f(x) = 2x2 + 4x - 1, a =

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: xy Find all second order derivatives for r(x,y)= 4x +9y

A: The given function is

Q: nd r'(t), r"(t), and r'(t) · r"(t). r(t) = 4 cos(t)i + 3 sin(t)j a) r'(t) b) r"(t)

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Q: Fihd f if f"(±) = sin(z), f(0) = -1, f'(0) = -1, f"(0) = -4. %3D f(z) =| D

A: Given: f'''(x)=sin(x),  f(0)=-1,  f'(0)=-1,  f"(0)=-4

Q: Find dy/dx using partial derivatives  cos(x-y) = xe^y

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Q: F(x) = J e2f sin² (3t)dt. Then F'(x) =

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Q: f(z) = cos(4r +5) %3D

A: we have to derivative  we know that  d(cos (ax+b) ) = -sin (ax+b) a                        = - a sin…